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Mathematics Senior High

求める果物の買い方を求める式で9はどこから出てきましたか?

題 14 完大] 128 重複組合せ かきなし,もも, びわの4種類の果物が店頭にたくさんある。 6個の果物を買 うとき、何通りの買い方があるか。 ただし, 含まれない果物があってもよいも のとする。 CHART GUIDE 重複を許して作る組合せ ○と仕切りの順列と考える SUS 4種類の果物から、6個を買うというだけで, それぞれの果物の個数に指定がない。 この ような場合は、次のように考える。 買物かごを用意し, その中に3個の仕切り ( で表す) を入れ, 4つの部分に分ける。 その 4つの部分に,順にかき, なし,もも, びわ を計6個入れる。 このとき、果物を○で表すと、例えば もも2|びわ 1 もも0 3 〇〇一〇一〇〇|〇 はかき2|なし1 〇一〇〇|| 〇〇〇 はかき1 | なし2 を表す。このように,果物の買い方は6個の ○ と3個の|の並べ方の総数に対応するから, 同じものを含む順列を利用して求める。 回答 例えば,かきを1個, なしを1個, ももを3個, びわを1個買 うことを6個 と3個の仕切りを用いて 19 それぞれの果物をか で表すと, 2, 2, 1 は COTO | 000 1 0 のように表すとする。 このように考えると, 果物の買い方の総数は, 6個の○と3 個の仕切り | を1列に並べる順列の総数に等しい。 9! =84 (通り) よって 求める果物の買い方の総数は 6!3! thy Lecture 重複組合せ 異なるn個のものから重複を許して個取って作る組合せの総数は,例題の解答と同様に考えて が (n-1) 個 〇が個あるとき,それらを1列に並べる順列 の総数に等しいから、その数は n-1+rC, である。 このような組合せを重複組合せといい、その総数を,H, で表す。 すなわち nH₂=n+r-1Cr (r>n><& £W) 上の例題では、異なる4種類の果物から重複を許して6個の果物を取り出す組合せの総数を考え 4H6=4+6-1C6=9C6=9C3= ているから、その総数は 9・8・7 -=84 (通り) 3・2・1 1, な 〇一〇〇一〇 0, 3, 1, 2 1100010100 で表される。 同じものを含む順列 1

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English Senior High

教えて欲しいです🙏 よろしくお願いします。

【5】 次の対話の下線部 1)~6)の意味に最も近い語(句) をa~dから選びなさい。 JANE: Hello, Peter. How's your new job going? PETER : Hi, Jane. Oh, It's a breeze! I choose my own teaching hours, and the students are enthusiastic, too. It's so much better than my last job. JANE: That's great. So, do you have plenty of classes? PETER: Yes. And, 3)as luck would have it, I can teach subjects that I enjoy. JANE: Oh, really. Does the principal give you any trouble? PETER: No. But she did ask me to help with the science club after school. However, I 4)turned her down. JANE: Oh! Do you think that was a good idea? Shouldn't you keep on good terms with her? PETER: I didn't think of that. Do you think I should speak to her again? JANE: Well, I would if I were you. You want to make a good impression, don't you? PETER I certainly do! Thanks for your advice. I'll call her tomorrow. JANE Good idea. Let me know what happens. 1. a. very difficult c. not so easy a. better paid than c. a lot worse than 2. 3. 4. 5. 6. a. not by chance c. luckily a. refused her c. a. stay for the term with c. teach for the terms with couldn't decide a. do good deeds c. create a good image b. very easy d. a little windy b. not as bad as d. an improvement on b. unluckily d. happily b. asked her for time d. accepted b. stay friendly with d. stay away from b. have a good idea d. leave an impression

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English Senior High

空所アについてです。わたしは①を選んだのですが、不正解でした。解説によると、「manyではwhatが導く名詞節全体を修飾できないから」らしいのですが、いまいちピンときません。何故manyじゃだめなのですか?教えてください。

Unit 1 Unit 2 Unit 3 3 H GXJ FIX [人間] 290 words 空所が多めの文は前後のつながりを丁寧に追うこと。 次の英文を読んで, 設問に答えなさい。 出題大学 広島経済大学 制限時間10分 6 p.21 The composer Mozart is famous for showing a talent for music when he was just a small child. However, ( 7 ) Mozart produced in his early years is not considered to be particularly outstanding. He didn't produce his first true masterpiece* until he was 21; pretty s young to be sure, but Mozart ( 1 ) already been composing for years by this time. 10 The figure of 10,000 hours has been suggested as the amount (1 of serious practice or study needed to truly master a skill. That is nearly two hours a day, every day, for 14 years. Natural ability is, of course, an important factor in success, but even someone as talented as Mozart couldn't become a "great" composer until he had put in* 10,000 hours of hard work. The same can be said of golfer Tiger Woods and computer genius Bill Gates. Most people in developed countries can expect to have a healthy life of at least 70 years, or 613,608 hours. Although that seems like a ot of hours, most people spend about a third of them asleep. Take way all the hours we "lose" moving from place to place, eating, etc., well as the time spent at work or school, and the amount of free me we have starts to look quite limited.

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