至急😿😿(3)ってなんで4個のしきりじゃなくて5個なんですか！！

重要 例題35 数字の順列(数の大小関係が条件) 次の条件を満たす整数の組(a1, az, as, a4, as) の個数を求めよ。 (2) 0Sa」Sazhassasass3 基本 33,34 (1) 0<ai<a2<as<as<as<9 (3) a+aztastastas<3, a;20(i=1, 2, 3,4, 5) 8の8個の数字から異なる5個 指針>(1) ai, az, ……, as はすべて異なるから,1, 2, を選び,小さい順に a1, az, → 求める個数は組合せ&Cs に一致する。 (2)(1)とは違って, 条件の式に<を含むから,0, 1, 2, 3の 4個の数字から重複を許」 て5個を選び,小さい順に a, a2, 求める個数は重複組合せ Hs に一致する。 (3) おき換えを利用すると,不等式の条件を等式の条件に変更できる。 3-(a+az+as+astas)=bとおくと ataztastastas+b=3 また,aitaz+as+astas<3から よって,基本例題34(1) と同様にして求められる。 ………, as を対応させればよい。 asを対応させればよい。 一等式 620 解答 8の8個の数字から異なる5個を選び, 小さい …, as とすると, 条件を満たす組が1つ決ま 検討 うにして解くこともできる。 (2) 「.348 検討の方法の利 (2), (3) は次のよ 順に a1, a2, る。 7 用] 6:=a:+i(i=1, 2, 3, 4, 5) とすると, 条件は よって,求める組の個数は (2) 0, 1, 2, 3の4個の数字から重複を許して5個を選び, 小 さい順に a1, a2, 決まる。 よって,求める組の個数は (3) 3-(a+az+as+as+as)=b とおくと ataztas+a4+as+b=3, a;20(i=1, 2, 3, 4, 5), b20 よって, 求める組の個数は, ① を満たす0以上の整数の組の 個数に等しい。これは異なる6個のものから3個取る重複組 合せの総数に等しく 別解 a+az+dstastas=k(k=0, 1, 2, 3) を満たす0以 上の整数の組(a,, az, as, as, as)の数は sHeであるから sHo+sH」+H2+sHs=.Co+sCi+C2+,C3 8Cs=&C=56 (個) 0<bくb2くbsくb4<bょく9 と同値になる。よって, ((1)の結果から 56個 (3) 3個の○と5個の仕切り を並べ, 例えば, TO|I○○|| の場合は (0, 1, 0, 2, 0)を表すと 考える。このとき, AIB|C|D|E|F とすると, A, B, C, D, asとすると,条件を満たす組が1つ Hs=4+5-1Cs=&Cs=56 (個) の Eの部分に入る○の数をそ れぞれ a1, a2, as, A4, Us とすれば組が1っ決まるか sC。=56(個) Hs=6+3-1C3=&C3=56 (個) ら =1+5+15+35=56 (個)

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寄りそうオウエンとムゼイ 9noY19 Until they met, both Owen and Mzee had been P lonely. As the weeks went on, they spent more time together. Now they swim together, eat together, and sleep next to each other.Owen even playfully rubs ス50 his nose against Mzee's neck, and Mzee stretches his neck forward happily. 3 Many animal scientists say that they have never seen such an amazing friendship betweena mammal and a reptile before. OThe reasons are unclear, and science cannot explain everything、VBut this story shows that animals of different species can care for each other.

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2 次の英文に遂適する語を答えよ。ただし, [ ]内の語を適切な形に直して州いること。 [do] ) the homework by tonight. ) care of the dogs for a week now. [take] (2) He( (3) Maki( )a great time with him now. ) e-mail now. [have] 「writel [have] [want] [forget] (5) Let's start as soon as we ( ) breakfast. ) long( ) to see her but she moved last month. (7) My father ( ) always( ) something these days. 33

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各文の( )に入る最も適切な語句を選び, 番号を答えなさい。 (1) This watch is broken, so I must buy ( 0 that ② it (3 One, 4 the one (2) He gave me ( ) on what I should do in the case of _an accident. (流通科学大) 0a few advices 2 an adkice まったs (3) This year's fashions are tyuite different from( 3 sonfe advice many advice of last year. (京都産業大) one other ③ these (4) Jim has three brothers. One is a doctor, and( those/ ) are computer scientists. the others (松山大) 0 another (5) Peter andI don't seem to see ( ② others ③ the other 近頃の ) very often nowadays. How is he? (学習院大) 0 another eh other 3 ourselves us both (6) There were two cars in the gáráge: one was a Japanese make and( ① another 2 the other ) what we ought to do. ) was American. (拓殖大) (明治学院大*) ③ others ④ the others (7) We talked ( ① each other ② each other about ③ with each other ④ with each other about 楽具する。 ) to find out what was happening. (8) Ibought ( (千葉商科大) Da paper ② apiece of paper 3a piece of papers 4 paper (9 ThatTáwyer has not had alot of ( 0 elierts (協大) customers 3 Consumers guests (四天王寺国際仏教大) ④ another (10) To learn is one thing, and to teach is ( ① the other 11) Yoshiko likes red wine better than ( ①a white one (2) the one ③ other (園田学園女子大) ② whíte ohe ③ white ④ the white one 12) How many ( ) do you have, Keiko? (愛知学院大) ② pieces of baggage 0 pieces of baggages ③ baggage の baggages お気 ) is the money|that|you pay for a jottney made, for example, by bus, train, or (13 A ( (センター試験) taxi. fare) ④ fee (2 cost 0 charge (京都産業大) ) with someone from another country. 3a friend 14) I would like to make ( の friendly (② friends ) and I'd like to take a short break. ② homgkorks 0friend (名古屋外国語大) (15) I have done all of ( 1a homework ③ my homework のmy homieworks

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11. This is a shop .you can buy many different types of food and drink. a. that b. which C./where d. what sbiy h boa yo TooO oo some boshiy お 0 12. A pencil is something, every student needs. a. who b. whose C. where d. that 13. Pizza is a popular food was first made in Italy. a. who b. which nbo cal C. where d. what o s 14. The gym is the place people go to exercise. orw a. who b. which mod 2sw s c. where d. what 15. Mosquitoes are insects like to bite people. a. who b. when 90stc C. that d. what 16. Albert Einstein was a scientist did many important things. a. who nob. whichblo2 2sd teut C. where d. what dbidw 17. A mouse is something helps us use a computer. 19wa a. who b. which wed elemins s1s 29sn22 C. where d. that Hoirw d ortws 18. A helicopter is a machine can fly. 1situ b S1adw 3 a. who b. where nsa sw adtomos al ifgildasit A a C. that d. what orw 5 19. Kanye West is a rapper has millions of fans. 91rw a. when b. which 919tw al lssigaorl orlT C. where d. who daine onw e 20. A wallet is something men use to carry their money and cards. a. who b. which C. where d. what 21. Ed Sheeran is a musician can sing and play the guitar. a. who b. which no e C. where d. what orte 22. Kangaroos are animals live in Australia. a, who b. where C. that d. what

ふたつ目なぜwhoseなんですか？

1「~する(人)」 Audrey Hepburn was an actress who did alot of charity work. I applaud all the baseball players whose careers have encouraged young children. The scientist who [whom] I admire the most is Stephen Hawking. >目的格の who [whom] は省略されることが多い

ふたつ目なぜwhoseなんですか？

1「~する(人)」 Audrey Hepburn was an actress who did a lot of charity work. I applaud all the baseball players whose careers have encouraged young children. The scientist who [whom] I admire the most is Stephen Hawking. >目的格の who [whom] は省略されることが多い cot

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4 Complete the sentences and read them aloud.Grammar in Context for his research on iPS cells in 2012. 2012年,ノーベル賞(a Nobel Prize)がIPS 細胞の研究で山中教授に授与されました. 1. patients suffering from serious diseases in 2. the near future. iPS 細胞は近い将来, 重い病気を患っている患者を救うことができると言われています。 the recent progress in science. 3. 最近の科学の進歩には本当に感動しています。

ふたつ目なぜwhoseなんですか？

1「~する(人)」 Audrey Hepburn was an actress who did a lot of charity work. I applaud all the baseball players whose careers have encouraged young children. The scientist who [whom] I admire the most is Stephen Hawking. >目的格の who [whom] は省略されることが多い donA 2「~する(こと·物)」 1odpid ofaoso

ふたつ目なぜwhoseなんですか？

1「~する(人)」 Audrey Hepburn was an actress who did a lot of charity work. I applaud all the baseball players whose careers have encouraged young children. The scientist who [whom] I admire the most is Stephen Hawking. >目的格の who [whom] は省略されることが多い