Grade

Type of questions

Mathematics Senior High

(2)と(3)の解き方がなぜ異なるのかがわかりません。 (2)では0以上3以下が範囲として許されているので 4種類の中から重複を許して5個取り出すという点で4H5になることは理解出来ました。 しかし(3)でもa1,a2,…,a5は0以上で和が3なので、 0以上3以下(和の上... Read More

386 重要 例題 34 数字の順列 (数の大小関係が 等式 次の条件を満たす整数の組 (a1, A2, A3, 4, α5) の個数を求めよ。 (1)0<a<az<a<a<a<9 + 0000 (2) 0≤aa2a3 a4 a5≤3 O 8の8個の数字から異なるこ (3) a1+aztas+a+Qs≦3, ai≧0 ( 2, 3, 45) X 合わせても相野べて煮なるから、1.2... 8 688/3/1777 ような解き方 a,a2, α5 を対応させればよい。 指針 (1) 個を選び, 小さい順に α1, A2, → 求める個数は組合せ C5 に一致する。 11ff112 ex.) ○+△+=9 Hr 重複は許さない まだ 基本 32 (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 して5個を選び, 小さい順に α1, A2, ....., as → 求める個数は重複組合せ H5 に一致する。 を対応させればよい。 (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+a2+as+α+α5) =bとおくと また, a1+a2+αs+a+α5≦3から a+a2+as+a+αs+b=3 b≥0 よって,基本例題 33 (1) と同様にして求められる。 8の8個の数字から異なる5個を選び、小検討 α5 とすると,条件を満たす組が (1)1,2, ..... さい順に a1, A2, 1つ決まる。 よって, 求める組の個数は ついてない 8C5=8C3=56 (個) (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, ......, α5 とすると, 条件を満たす組 が1つ決まる。 よって, 求める組の個数は 4H5=4+5-1C5=8C5=56 (個) (3) 3-(a1+a2+α3+α+α5)=bとおくと I .. ① ai≧0 (i=1,2,3,4,5), 6≧0 和が3以下 ○和が0のとき ・和が1のとき 2のとぎ a1+a2+as+a+a+b=3, ← 一等式 (2),(3)は次のようにして 解くこともできる。 (2)[p.384 検討 PLUS ONE の方法の利用 bi=aiti(i=1,2,3, 4, 5) とすると, 条件は 0<b<b<b<b<bく 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 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 6H3=6+3-1C3=8C3=56 (個) 別解 a1+a2+as+a+as=k(k= 0, 1, 2, 3 を満たす 0 以上の整数の組 (a1, 2, 3, 4, α5) の数は5Hkであ るから 5H0+5H1+5H2+5H3 3のとき 場合の数を =4Co+5C1+6C2+7C3 =1+5+15+35=56 (個) 切りを並べ、例えば、 |〇||〇〇|| の場 合は (0, 102, 0) を表すと考える。 このとき A|B|CD|E|F とすると, A, B, C, DE の部分に入る 0 の数をそれぞれ al, an 振り 43, 4, as とすれば、 組が1つ決まるから 8C3-56 (1) 場合の によ ・代表 ・(a) .27 . • 10 10 (1 1 Sl

Unresolved Answers: 1
English Senior High

(③)に入る語を文脈から考えて書きなさい。という問題です 訳分からないので教えてください!!( Ꙭ )

*13 Reading Reading Gramma /12 Recipe Listening /324 /10 /100 探検家のグレイはなぜ、高級ホテルに入れてもらえなかったのでしょうか? *(Richard Gray was a famous explorer". He was also a millionaire". He had visited every country in the world. Last year he decided to walk across Red Devil Valley", the hottest place on Earth. He walked for days over the hot desert sand. One night he found the place that he had camped in the day before. Gray had walked ( ). He was lost. Two days later he had drunk all his water. He couldn't walk. He crawled" to the top of a sand dune* and saw a man. The man was wearing clean trousers, a white shirt, and a tic. Gray crawled over to him. "Water, water," he said. "I'm terribly sorry," replied the man, "but I haven't got any water with me." "Help me!" shouted Gray. "I'm a millionaire. I'll give you anything." That's very nice of you," said the man. "Look, I can't give you any water, but would you like to buy my tie?" "A tie? Of course ()!" screamed Gray, and crawled away. He crawled slowly up the next sand dune. His lips were cracked and dry. When he reached the top of the dune, is he saw a huge luxury hotel. People were swimming in the huge swimming pool. There were beautiful fountains everywhere. "Is it a mirage*?" he thought. He stood up and staggered down the dune. A porter" in a white uniform came out of the door. "Water. Please!" screamed Gray. "I'm sorry, you can't go into this hotel," said the porter. "Why not? I've got plenty of money." "Yes," replied the porter, "but you aren't wearing a tie." 20 (268 words) NOTES explorer: crawl: はう millionaire: 大金持ち Red Devil Valley: 架空の土地の名前 sand dune: E crack... にひびを入らせる luxury ぜいたくな stagger: よろよろ歩く porter: (ホテルの) ボーイ mirage しん気楼 パート ごとの 150

Unresolved Answers: 0
TOEIC・English Undergraduate

分からないので教えて欲しいです🙇‍♀️

Entrance Exam 否定表現 1. almost 2. I( 1()に入れる最も適切な語句を1~4から選びなさい。 1. I don't think David would make a good leader because he can ( difficult circumstances and tends to give up too quickly. 2. extremely 3. hardly ) go to karaoke, I go only once or twice a year. ) be expected to act honorably in 4. neither (明治大) (芝浦工業大 4. never 1. often 3. Unfortunately, ( seldom ) of the 1. a few 2. few 3. ever passengers escaped injury. 3. many (大阪学院大 推) 4. much 4. ( ) children are born with musical talent. (日本大) 1. none of 2. not all. 3. not every 4. no one 5. ( 2. No 1. as far as 2. far from ) of the workers accepted the director's proposal to cut bonuses. 1. Not 6. The future of English society looked ( 7. I didn't like the food at that restaurant. It was (. (東海大 3. Never ) promising in the 1840s. None (立命館大) 3. for far 4. too far ) delicious. (福岡大) 1. anything but 2. nothing but 3. without 4. out of 8. He was so drunk that he could ( ) walk. (大阪学院大) 9. 1. all 1. able 2. unable This train doesn't stop at ( a few 3. hard 4. hardly ) station. 大阪商業大推) 2. 3. little 4. every 2. few 12. " Can 10. The latest model of this mobile phone is ( 1. not seldom 3. all not 11. Before I watched the documentary, I knew ( 1. little à you come to the party tonight?" "( 1. Yes, I can ) easy to use. (獨協大) 2. not necessarily 4. ever not 3. seldom ) about life under the sea. 4. hardly (東京工科大) ). I have a lot of homework." (拓殖大) 2. Yes, I do 3. No, I'm afraid not 13. Japan has ( 1. a little 2. few 4. No, I hope not ) oil and therefore is almost entirely dependent on imports. (センター) 3. little 4. small

Waiting for Answers Answers: 0