3:I[9275,[],""] 5:I[1343,[],""] 6:I[4080,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","180","static/chunks/180-fa9585ba28b3b839.js","185","static/chunks/app/layout-ec6484a5765a2673.js"],""] 7:I[231,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","23","static/chunks/app/advice/%5Bid%5D/page-186819a87df201a3.js"],""] 8:I[212,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","23","static/chunks/app/advice/%5Bid%5D/page-186819a87df201a3.js"],"default"] 9:I[8629,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","180","static/chunks/180-fa9585ba28b3b839.js","185","static/chunks/app/layout-ec6484a5765a2673.js"],"SearchButton"] a:I[942,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","180","static/chunks/180-fa9585ba28b3b839.js","185","static/chunks/app/layout-ec6484a5765a2673.js"],"AdviserRegistrationButton"] b:I[390,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","180","static/chunks/180-fa9585ba28b3b839.js","185","static/chunks/app/layout-ec6484a5765a2673.js"],"ExamineeRegistrationButton"] c:I[8001,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","180","static/chunks/180-fa9585ba28b3b839.js","185","static/chunks/app/layout-ec6484a5765a2673.js"],"NavigationBarCategoryTabItem"] d:I[2738,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","180","static/chunks/180-fa9585ba28b3b839.js","185","static/chunks/app/layout-ec6484a5765a2673.js"],"ConsultingButton"] e:I[2362,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","180","static/chunks/180-fa9585ba28b3b839.js","185","static/chunks/app/layout-ec6484a5765a2673.js"],"default"] f:I[490,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","180","static/chunks/180-fa9585ba28b3b839.js","185","static/chunks/app/layout-ec6484a5765a2673.js"],"default"] 10:I[3578,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","180","static/chunks/180-fa9585ba28b3b839.js","185","static/chunks/app/layout-ec6484a5765a2673.js"],"default"] 11:I[4404,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","180","static/chunks/180-fa9585ba28b3b839.js","185","static/chunks/app/layout-ec6484a5765a2673.js"],"GoogleAnalytics"] 4:["id","18AA9GUBTqPwDZPuVmNh","d"] 0:["yab-MbJFC1zDbnIJOUFHE",[[["",{"children":["advice",{"children":[["id","18AA9GUBTqPwDZPuVmNh","d"],{"children":["__PAGE__?{\"id\":\"18AA9GUBTqPwDZPuVmNh\"}",{}]}]}]},"$undefined","$undefined",true],["",{"children":["advice",{"children":[["id","18AA9GUBTqPwDZPuVmNh","d"],{"children":["__PAGE__",{},[["$L1","$L2"],null],null]},["$","$L3",null,{"parallelRouterKey":"children","segmentPath":["children","advice","children","$4","children"],"error":"$undefined","errorStyles":"$undefined","errorScripts":"$undefined","template":["$","$L5",null,{}],"templateStyles":"$undefined","templateScripts":"$undefined","notFound":"$undefined","notFoundStyles":"$undefined","styles":null}],null]},["$","$L3",null,{"parallelRouterKey":"children","segmentPath":["children","advice","children"],"error":"$undefined","errorStyles":"$undefined","errorScripts":"$undefined","template":["$","$L5",null,{}],"templateStyles":"$undefined","templateScripts":"$undefined","notFound":"$undefined","notFoundStyles":"$undefined","styles":null}],null]},[["$","html",null,{"lang":"ja","children":[["$","$L6",null,{"async":true,"src":"https://pagead2.googlesyndication.com/pagead/js/adsbygoogle.js?client=ca-pub-6167616270861177","crossOrigin":"anonymous"}],["$","body",null,{"className":"__className_36bd41","children":[["$","nav",null,{"className":"w-full bg-white text-white py-2","children":[["$","div",null,{"className":"relative h-16 mb-2","children":[["$","div",null,{"className":"absolute w-full flex items-center justify-center","children":["$","$L7",null,{"href":"/","children":["$","$L8",null,{"src":"/images/header.png","alt":"UniLinkヘッダー画像","width":200,"height":63}]}]}],["$","button",null,{"className":"absolute top-0 bottom-0 right-4 text-text","children":["$","$L9",null,{}]}]]}],["$","div",null,{"className":"flex justify-center space-x-2 mb-2","children":[["$","$La",null,{}],["$","$Lb",null,{}]]}],["$","div",null,{"className":"flex justify-center bg-primary","children":["$","div",null,{"className":"flex space-x-1 items-center overflow-x-auto hidden-scrollbar","children":[["$","$Lc","トップ",{"name":"トップ","selected":true}],["$","$Lc","現代文",{"name":"現代文","selected":false}],["$","$Lc","古・漢",{"name":"古・漢","selected":false}],["$","$Lc","数学",{"name":"数学","selected":false}],["$","$Lc","英語",{"name":"英語","selected":false}],["$","$Lc","理科",{"name":"理科","selected":false}],["$","$Lc","日本史",{"name":"日本史","selected":false}],["$","$Lc","世界史",{"name":"世界史","selected":false}],["$","$Lc","やる気",{"name":"やる気","selected":false}],["$","$Lc","時間",{"name":"時間","selected":false}],["$","$Lc","過去問",{"name":"過去問","selected":false}],["$","$Lc","模試",{"name":"模試","selected":false}],["$","$Lc","AO・小論",{"name":"AO・小論","selected":false}],["$","$Lc","ランキング",{"name":"ランキング","selected":false}]]}]}]]}],["$","$L3",null,{"parallelRouterKey":"children","segmentPath":["children"],"error":"$undefined","errorStyles":"$undefined","errorScripts":"$undefined","template":["$","$L5",null,{}],"templateStyles":"$undefined","templateScripts":"$undefined","notFound":["$","div",null,{"className":"px-4 py-4 text-center","children":[["$","h1",null,{"className":"text-4xl mb-4","children":"404"}],"指定されたページが見つかりませんでした。ページが削除または移動された可能性があります。"]}],"notFoundStyles":[],"styles":null}],["$","div",null,{"className":"fixed bottom-4 md:bottom-8 right-4 md:right-8 z-10","children":["$","$Ld",null,{}]}],["$","footer",null,{"className":"bg-gray-100","children":[["$","div",null,{"className":"px-4","children":["$","div",null,{"className":"max-w-5xl mx-auto w-full","children":[["$","$Le",null,{"sx":{"backgroundColor":"inherit","zIndex":1},"elevation":0,"children":[["$","$Lf",null,{"sx":{"paddingLeft":0,"paddingRight":0},"className":"font-semibold","expandIcon":["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0V0z","children":[]}],["$","path","1",{"d":"M7.41 8.59 12 13.17l4.59-4.58L18 10l-6 6-6-6 1.41-1.41z","children":[]}]]],"className":"$undefined","style":{"color":"$undefined"},"height":"1em","width":"1em","xmlns":"http://www.w3.org/2000/svg"}],"children":"UniLink（ユニリンク）とは"}],["$","$L10",null,{"sx":{"paddingLeft":0,"paddingRight":0},"children":["$","div",null,{"className":"text-sm font-normal leading-relaxed","children":["UniLink（ユニリンク）とは、受験生会員数13万人以上、相談投稿数10万件以上を有する国内最大級のハイレベル受験質問プラットフォームです。",["$","br",null,{}],["$","br",null,{}],"全ての受験生が、受験の悩みや不安を無料で現役難関大生に質問できます。また、過去に投稿された全ての質問と回答を閲覧することもできます。",["$","br",null,{}],["$","br",null,{}],"質問に回答するすべての回答者は、学生証などを使用してUniLinkによって審査された東大・京大・慶應・早稲田・一橋・東工大・旧帝大のいずれかに所属する現役難関大生です。回答者の審査では、さらに実際の回答をUniLinkが確認して、一定の水準をクリアした合格者だけが登録できる仕組みとなっています。",["$","br",null,{}],["$","br",null,{}],"UniLink利用者の80%以上は、難関大学を志望する受験生です。ライバルから刺激を得て、合格者の知恵を1つでも多く吸収し、ハイレベルな受験対策を行いましょう。"]}]}]]}],["$","div",null,{"className":"border-b"}],["$","div",null,{"className":"py-4","children":[["$","div",null,{"className":"font-semibold","children":"UniLink公式SNSアカウント"}],["$","div",null,{"className":"text-sm font-normal leading-relaxed mb-2","children":"最新回答を短く要約してお届けします。"}],["$","div",null,{"children":["$","div",null,{"children":[["$","a",null,{"href":"https://twitter.com/unilink_study?ref_src=twsrc%5Etfw","className":"twitter-follow-button","data-show-count":"false","children":"@unilink_studyをフォロー"}],["$","$L6",null,{"async":true,"src":"https://platform.twitter.com/widgets.js"}]]}]}]]}],["$","div",null,{"className":"border-b"}],["$","div",null,{"className":"py-4","children":[["$","div",null,{"className":"font-semibold","children":"UniLink公式スマホアプリ"}],["$","div",null,{"children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/iomezpbt","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"max-w-sm rounded"}]}]}]]}],["$","div",null,{"className":"border-b"}],["$","div",null,{"className":"flex flex-wrap items-center gap-4 py-4","children":[["$","$L7",null,{"className":"footer-button","href":"https://about.uni-link.co.jp/","children":"会社概要"}],["$","div",null,{"className":"footer-divider","children":"|"}],["$","$L7",null,{"className":"footer-button","href":"https://about.uni-link.co.jp/contact/","children":"お問い合わせ"}],["$","div",null,{"className":"footer-divider","children":"|"}],["$","$L7",null,{"className":"footer-button","href":"https://about.uni-link.co.jp/","children":"広告出稿"}],["$","div",null,{"className":"footer-divider","children":"|"}],["$","$L7",null,{"className":"footer-button","href":"https://about.uni-link.co.jp/documentdl/","children":"媒体資料ダウンロード"}],["$","div",null,{"className":"footer-divider","children":"|"}],["$","$L7",null,{"className":"footer-button","href":"https://about.uni-link.co.jp/terms/","children":"利用規約"}],["$","div",null,{"className":"footer-divider","children":"|"}],["$","$L7",null,{"className":"footer-button","href":"https://about.uni-link.co.jp/privacypolicy/","children":"プライバシーポリシー"}],["$","div",null,{"className":"footer-divider","children":"|"}],["$","$L7",null,{"className":"footer-button","href":"https://about.uni-link.co.jp/tokutei-law/","children":"特定商取引に関する表記"}],["$","div",null,{"className":"footer-divider","children":"|"}],["$","$L7",null,{"className":"footer-button","href":"/sitemap.xml","children":"サイトマップ"}]]}]]}]}],["$","div",null,{"className":"bg-primary px-4 pt-4 pb-20","children":["$","div",null,{"className":"max-w-5xl mx-auto w-full flex justify-between items-center","children":[["$","div",null,{"className":"rounded overflow-hidden","children":["$","$L7",null,{"href":"/","children":["$","$L8",null,{"src":"/images/header.png","alt":"UniLinkヘッダー画像","width":100,"height":32}]}]}],["$","div",null,{"className":"text-white text-sm","children":"©UniLink, Inc."}]]}]}]]}]]}],["$","$L11",null,{"gaId":"G-ELSR1M4E8Q"}]]}],null],null],[[["$","link","0",{"rel":"stylesheet","href":"/_next/static/css/85d7fb81f313170a.css","precedence":"next","crossOrigin":"$undefined"}]],[null,"$L12"]]]]] 12:[["$","meta","0",{"name":"viewport","content":"width=device-width, initial-scale=1"}],["$","meta","1",{"charSet":"utf-8"}],["$","title","2",{"children":"高校一年数学、順列と積の法則について。 | UniLink"}],["$","meta","3",{"name":"description","content":"今、重複順列をし始めたのですが、し始めて、積の法則と順列の違いがわからなくなりました。というか、順列は積の法則と元は同じで、特に何個から何個選ぶことを順列というと私は解釈してます、、。積の法則はそこで選んだものが何であれ次に影響がないときに使う、順列は一個選んだら次は使えない＝次に影響が出る、、。ということは、順列と積の法則には違いはあるということなんですかね😓わかる方、わかりやすく教えて欲しいです🙇‍♀️"}],["$","link","4",{"rel":"icon","href":"/favicon.ico","type":"image/x-icon","sizes":"48x48"}],["$","link","5",{"rel":"icon","href":"/icon.png?2c0dc65a59843333","type":"image/png","sizes":"180x180"}],["$","link","6",{"rel":"apple-touch-icon","href":"/apple-icon.png?2c0dc65a59843333","type":"image/png","sizes":"180x180"}],["$","meta","7",{"name":"next-size-adjust"}]] 1:null 13:I[3903,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","23","static/chunks/app/advice/%5Bid%5D/page-186819a87df201a3.js"],"ClientInfo"] 14:I[2798,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","23","static/chunks/app/advice/%5Bid%5D/page-186819a87df201a3.js"],"AdUnderConsultation"] 15:I[2582,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","23","static/chunks/app/advice/%5Bid%5D/page-186819a87df201a3.js"],"AdviserInfo"] 16:I[9083,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","23","static/chunks/app/advice/%5Bid%5D/page-186819a87df201a3.js"],"AdviserProfile"] 17:I[7060,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","23","static/chunks/app/advice/%5Bid%5D/page-186819a87df201a3.js"],"AdUnderAdvice"] 18:I[3194,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","23","static/chunks/app/advice/%5Bid%5D/page-186819a87df201a3.js"],"CommentPostButton"] 19:I[6411,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","23","static/chunks/app/advice/%5Bid%5D/page-186819a87df201a3.js"],"CommentItemAvatar"] 1a:I[6549,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","23","static/chunks/app/advice/%5Bid%5D/page-186819a87df201a3.js"],"CommentItemName"] 1b:I[3866,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","23","static/chunks/app/advice/%5Bid%5D/page-186819a87df201a3.js"],"AdOnAdviceList1"] 1c:Tc1f,　こういった問題独自の定義は、だいたい文字を含んでいることが多いです。例えば、 ・「nを正の整数とし、3^nを10で割った余りをanとする。」（東京大2016文系） ・「正の整数nの各位の数の和をS(n)で表す。」（一橋大2018） ・「nを2以上の整数とする。金貨と銀貨を含むn枚の硬貨を同時に投げ、裏が出た金貨は取り去り、取り去った金貨と同じ枚数の銀貨を加えるという試行の繰り返しを考える。初めはn枚すべてが金貨であり、n枚すべてが銀貨になった後も試行を繰り返す。k回目の試行の直後に、n枚の硬貨の中に金貨がj枚だけ残る確率をPk(j)（0≦j≦n）で表す。」（東北大2019文系） のように。あなたが挙げて下さった例でもそうですね。 　ご存知のように、数学で文字が使われるのはそこに入る値が不特定であるときなので、逆にいえば、自分で具体的な値を代入して実験してみれば良いわけです。k-連続和でいえば、m=1、k=2とすると、3＝1+2という等式になり、3は2-連続和であることになります（相談文のk+1はおそらくkー1の間違いですね。でなければ、nはk+2個の連続する自然数の和になってしまうので）。ちゃんと、n(3)がk(2)個の連続する自然数(1→2)の和であるという定義に則ってますね。2019年文系の確率も、例えばk＝1を代入してみると、P1(j)は「n枚の金貨を同時に投げ、そのうちj枚が表で他が裏になる確率」のことを言っているのだとわかります（ちなみにこれは小問⑴）。反復試行の確率を考えればすぐ解けますね。すると、次はk＝2、その次はk＝3、と実験数をどんどん増やしていけば、Pk(j)の内容もいずれわかるはずです。試行の手順上、残るj枚は必ず全ての試行において表でなければならず、他方それ以外の金貨はすべて、k回のうちのどこかで裏が出ればいい（全て表で残る場合の余事象）わけですから、「n枚の金貨のうち、k回の試行の直後に残るべきj枚はk回とも全て表が出て、それ以外のn−j枚はk回の試行で少なくとも一回裏が出る確率」とわかります。ここまで日本語として簡略化できれば、Pk(j)（特に、k≧2）の値もそこまで苦戦せずに出せそうですね（ちなみにこれは小問⑵）。 　このように、なるべく簡単な値から代入して実験を繰り返すことで、独自の定義が何を言っているのかは帰納的に理解できることが多いです。文字が多かったり、分かりにくい表現だったりして、複雑で難しく感じる定義が出てきたら、まずは実験してみることを心がけると良いと思います。文系の問題ですが、もしまだ解いてない場合はネタバレになってしまい申し訳ございません。1d:Tf02,センター試験の集合は、実数の集合を扱うことが多いため、数直線上に図示するのが有効なことが多いです。 目盛の間隔を正確に図示する必要はなく、それぞれの端の大小と、黒丸白丸があっているかが重要です。(黒丸の場合はその点を含む、白丸の時はその点を含まないことを表します。不等号に=が入っているかどうかの違いとも言えます。) 例えば、 p: x>1 q:x≦2 のように与えられていた時、右向きの数直線上に左から1と2の点を書きます。 pについては、x>1(つまり「xは1より大きい」)であることから、先ほど書いた1の点に白丸を書き、そこから右上がりに少し直線を書き、そこから右向きに直線を伸ばします。新幹線のような形になります。この形は、1の点を含まないことを表すもので、白丸と同じ意味ですが、ぱっと見で分かるように両方使います。また、この線がpであることをどこかに書いておいてください。 qについては、x≦2(つまり｢xは2以下｣)であるので、2の点に黒丸を書き、そこから真下に少し直線を書き、左向きの直線を伸ばします。こちらは、電車のような形になります。この形は、2を含むことを表すもので、黒丸と同じ意味です。こちらの線にも、qであることを書いておいてください。 このように、範囲を一つ一つ図示していくと、次のようになります。 _______________ p / 2 ---------○-----●------->x 1 | q --------------- これを見れば、「pかつq」や、「pまたはq」「p⇒q は真か偽か」はすぐに分かるはずです。たとえば｢pかつq｣なら、pとqが重なっているところなので、1