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数学 高校生

例題12の考え方を教えていただきたいです。 指針や解答を読んでも、理解できなくて、😅 数学が得意な方や、この問題がわかった!という方いましたら解説お願いしたいです。よろしくおねがいします💦

合の数と確率 STEP<B> 12 正十角形の3個の頂点を結んで三角形を作る。 (1) 正十角形と1辺だけを共有する三角形は何個あるか。 (2) 正十角形と辺を共有しない三角形は何個あるか。 (1)共有する1辺を決めたとき, 三角形が何個できるかを考える。 (2) 正十角形と辺を共有しない三角形の個数は数えにくいから, 正十角形と辺を共 有する三角形を考える。そして,次の関係を利用する。 (辺を共有しない)3 (全体)- (辺を共有する) なお, 辺を共有するものは, 1辺を共有するものと, 2辺を共有するものがある。 (1) 共有する1辺を決めると,その辺の両端および両隣の2頂点を除く頂点の個数 だけ三角形ができる。共有する1辺の選び方は 10通りあり,そのそれぞれにつ いて,両端および両隣の2頂点を除く頂点は6個ずつある。 よって,正十角形と1辺だけを共有する三角形は (2) 正十角形の3個の頂点を結んでできる三角形は全部で 10×6=60(個) -="r 3·2·1 8.6-0I =120(個) また, 2辺を共有する三角形は, 正十角形の頂点の個数だけあるから 10個 よって,正十角形と辺を共有しない三角形は 120-(60+10)=50 (個) 密 20KO ム マr H

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英語 高校生

答えと解説お願いします!

学習日 8 The Case of the Dentist's Patient 歯科医院での患者殺人事件 1 Dr. Williams, a New York dentist, was getting ready to take an *"X-ray on the left 1)9 side of his patient, Dorothy Hoover. The door behind him opened silently and hand appeared. It was wearing a white glove and holding an *"automatic pistol. Bang! Bang!Two *°shots sounded. Miss Hoover fell over in the chair. She was 5 dead. 2 “We've got a **suspect for the shooting,"” *5Inspector Winters told his chief at his office two hours later. “The elevator boy took a nervous man up to Dr. Williams' office, a few minutes before the shooting. The boy described the man and I am sure 2) he is John Burton. He was **in prison before. This evening we found him at his 10 *7rooming house. Ive told him that I only want to ask him a few questions." 3 Burton was brought in and he angrily said, “What is all this about?” orno os s “Have you ever heard of a Dr. Williams?” asked the Inspector. uon To bal 6W “No, I haven't. Why?” replied Burton. BA (6 “"Dorothy Hoover was shot to death less than three hours ago as she sat in a chair in Dr. Williams' office," the Inspector explained. 15 “I was sleeping all afternoon," said Burton. “An elevator boy says he took a man who looked ike you a moment before the shots were heard,” the Inspector told Burton. *It wasn't me," Burton insisted. “A lot of 3) *8 guys look like me. I haven't been 20 in a dentist's office since I came out of prison. You are mistaken." We have good *"proof to send you back to “No," *°interrupted the chief, 1 265 words I prison for a very long time!" VB yer bnet

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