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Mathematics Senior High

確率 "連"がわかりません、、、! 問題にある文字列のaの連はaaとaaaで2個、bの連はbb,bbで2個だと思ってしまいました、、、 aの連とはどこのことでなぜ4個になるんでしょうか🥲 どなたか教えてくださると幸いです。。

87 「例題22.いくつかの a とbを一列に並べるとき, 同じ文字が連続し ている部分をその文字の連ということにする. aababbaaabba について はaの連の個数は4,bの連の個数は3で, 連の総数は7である. (1)全く同じで区別のつかないn個の球を, 区別のつくk個の箱に入 れるとき、空き箱の生じないような入れ方の総数を求めよ。 ただし nこk イルムふも とする。 (2) 7個のaと5個の6を一列に並べるとき, aの連の個数とbの連 の個数の和が7となる並べ方の総数を求めよ. R FILM ST (東北大) (1)前記公式2を使うだけです. 今は導きながら書いてみます。 ., kと番号をつけ, ここに球を C1, 02, 箱に1,2, 入れるとします。この場合, 空き箱を作らないので, ····, Ck 個 2 は C1 + 2 +…+Ck =n, C1 21, 02 2 1, …, Ck 三1 破オ フ で、整数解(x1, 02, …………, Ck ) の個数を求めます。. ○を n 個並べておいて, この○の間 ( n-1か所ある)から k-1 か所を 選んで,仕切りを入れ, 1本目の仕切りの左側の○の個数が x1, 1本目と2 本目の仕切りの間の○の個数が c2 , の個数が xk と考える. 仕切りの入れ方は n-1Ck-1 通りあり, これが求め るものです。 (2) (ア) aの連から始まるか, (イ) bの連から始まるか で場合分けをしましょう. (aの連)(bの連)(aの連)(bの連)(aの連) となるとき, aの連の個数, bの連の個数は「等しいか, aの連が1つ多い」 (bの連)(aの連) (bの連)(aの連)(bの連)…… となるとき,bの連の個数, aの連の個数は「等しいか, bの連が1つ多い」 となります。ただし連の総数は7ですから (ア)aの連から始まるとき. k-1本目の仕切りの右側の○ ore AS (aの連)(bの連)(aの連)(bの連)(aの連) (bの連)(aの連) と7番目の連で終わりです。 このとき各連を作る a, bの個数について

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English Senior High

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