(3)の下の解答の解説を見ても分かりませんでした 分かりやすく説明していただけると嬉しいです！！ よろしくお願いします🙇🏻‍♀️

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, a2, as, a4, as) の個数を求めよ。 O000 2) 0SaSa2Sasma_ハass3 (1)0<a」<az<as<as<as<9 (3)ataztastastass3, ai0 (i3D1, 2, 3, 4, 5) め 基本3.34 指針>(1) ai, a2, ………, as はすべて異なるから,1, 2, ·…, 8の 8個の数字から異なるう (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お。 ●場 を選び、小さい順に ai, Qe, … , as を対応させればよい。 → 求める個数は組合せ。Csに一致する。 に asを対応させればよい。 て5個を選び、小さい順に a1, 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+aztast+astas)=b とおくと ataztas+as+as+b=3 また, ataztas+astas£3から よって,基本例題 34(1) と同様にして求められる。 一等式 620 解答 検討 (2), (3) は次のよ 順に a, a2, ……, as とすると, 条件を満たす組が1つ決まうにして解くこともできょ (2) [p.348 検討の方法の利 用) 6:=a;ti(i=1, 2,1 4,5)とすると,条件は 0<b」くbaくbょくり、くらく と同値になる。よって、 (1)の結果から 56個 (3) 3個の○と5個の仕切 「を並べ,例えば、 1O||00|| の場合は (0, 1, 0, 2, 0)を表すと | 考える。このとき, A|B|C|D|EIF 8の8個の数字から異なる5個を選び, 小さい る。 C,=&Cs=56 (個) 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 a, a2, ………, as 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 (3) 3-(a」+az+astastas)=bとおくと ataztastastas+6=3, a20(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+as+a,+as=k(k=0, 1, 2, 3) を満たす0以 上の整数の組(a, a2, as, a, as) の数は Hx であるから sHo+sH」+sH2+sHs=,Co+sCi+.C2+,Cs H,=+5-1C,=C5=56 (個) とすると, A, B, C, Eの部分に入る○の数をそ れぞれ a, C, as, Cn a とすれば組が1つ決まる sCg=56 (個) 6Hs=6+3-1Cg=&Cg=56 (個) ら =1+5+15+35=56 (個)

なぜ④じゃなくて、②になるのか教えてください！

onto3 (3) I study English ( ) science. 基本 の more hard as as hard as as harder as more hard than

スタサポの文法です。もうなにから勉強していいかよくわかんないです🥲

チャー 文法 /10問 /26問 14問 正解数をチェックしよう。 次の(1)~(9)の空欄に入れるのに最も適当なものを、 下の①~①のうちから1つ選べ。(10) 1 については、下の①~③のうちから英文として正しいものを1つ選べ。 へ people believed the story, but others did not. The Some 3 Any All “Will he pass the examination ?” “Ihope( 種準 の as So this の that One my friends is in Kyoto, and( are in Osaka. (1 the others 2) the other 3③ another 4 same X The door bell is ringing. Go and see who( ) is. 標準 he (2 she it this (5) It will be lonely to live( 1 of oneself s ②/ by oneself to oneself の in oneself om I prefer German cars to American ( 標準 one ones it them B 0) (7) The movie was exciting. We really enjoyed( vonomm 応用 の by ourselves ourselves 3 for ourselves (4 us ) before." (8)“Have you ever seen a koala ?” “Yes, I have seen 応用 2 it this (4) One that 0ods wenl orn eift ) of a cat. Her eyes are like these の) those 応用 1 them ②) that (10) 0 This cellular phone is not his, but Mary. biidt eds 準 ② This cellular phone is not his, but Mary's. く ③ This cellular phone is not his, but Mary's one.

⑷についてです。 アでチェックでした。 分かりません。お願いします🙇‍♀️

4 次の対話文について, 最も強く読む語を記号で答えなさい。 (1) A: Areyou going to study science? B: No,I am going to study English. ア ウ エ (2) A: Where did your sister meet Yoko last Sunday? B: She met her in the park. イ ラ ア エ (3) A: What time do you get up every morning? B:Iget up at five everymorning. ウ アイ エ (4) A: Hello, Tom. What are you doing here? B: Hello, Emi. I'm waiting for a friend of mine. What are you doing? ア イウ エ (5) A: How old were you when you were in Africa? B:Iwas nine when I went there. ウ ア エ オ

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news. に適する語を書きなさい。 3 次の日本文に合う英文になるように (1) あなたにこのペンをあげましょう。 this pen. I will (2) その知らせに私たちは悲しくなりました。 sad. The news deilsn boog (3)私たちの学校は10年前に建てられました。 ten years ago. Our school (4) これらの本は若い人々に読まれています。 These books by young people. (5)その赤ん坊はメグ(Meg)と名づけられました。 の多 The baby (6)その犬はベス(Beth)によって世話をされました。 The dog was by Beth. care [4 次の各組の文がほぼ同じ内容を表すように, に適する語を書きなさい。 He bought me a nice dress. He bought a nice dress When I heard the news, I got angry. The news angry. Mr. Ito is our science teacher. Mr. Ito science. Japanese history is interesting to me. I'm Japanese history.

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ini (2点×5) 1 次の英語は日本語に, 日本語は英語になおしなさい。 iJig (1) sell (2) warm (3) become (4)山 (5) 朝食 本日 (2点×6) |2 次の文の( )内から適する語句を選び, 記号を○でかこみなさい。 (1) My uncle sent a book (ア to イ in ウ for) me last week. (2) Can you(ア tell イ say ウ talk) me the way to the library? (3) This book wasn't ( ア wrote イ writing ウ written) by a famous scientist. (4) The garden was covered ( ア from イ with ウ of ) snow. (5) Letters(ア send イ sent ウ are sent) here only oncea week. (立命館·改) (6) Paul ( ア surprises イ surprised ウ was surprised エ was surprising) at the news. kow e) 〈高田)

英語の文法がわかりません。解説お願いします。

【I) 次の 1 12の英文の( )に入る最も適切な語句を,それぞれ下の1~④から一つ ずつ選びなさい。 1 People with obesity are now greater in number than ( ) with malnutrition. 0 them 2 that の those one 2 ) the global population increasing, technological improvements in agriculture are an absolute necessity. 0 At 2 With 3 On Among 3 Some students are even more confused now about how to use the new machine ) before attending the workshop. 2 did than they( 0 do 3 are were たsnoa 4 Dr. Blackwell thought it her responsibility ( ) the chairperson by making a greater contribution to the annual meeting. 0 supports supported 3 to support support 5 Some scientists claim that humans virtually stopped evolving about 20,000 years ago because no major changes ( ) in the skull, teeth and skeletons since then. (1) occur Occurred 3 have occurred had occurred Vor ol 6 ) is not commonly known that antibiotics are a range of powerful drugs that can be efective against bacterial infection, but not for the flu or a cold. It 0 This 2 That 3 There

①〜⑤の動詞を適切な形に変えなさい。

Unit 5長文問題I Do you ever~) ~することがあ、 か? fall asleep 眠り are scolded とられ。 take naps 仮眠する。 afterward その後 following 次の catching a few 2's うとうとすること 11 Do you ever fall asleep during class? What happens? Perhaps, take naps? How do vou feel afterward? You will be happy o(read) ne following information. Many scientists now say that catching a few z's can improve your performance. (1)You must be so happy to hear this, so let's continue. you are scolded by vour teacher. How about at home? Do you ever Actually, this is important news for (2)people who have jobs that require high levels of concentration. Can you think of such jobs? 2 require ~を必要とれ concentration 集中 surgeon 外科医 on the night shift 夜勤で air traffic controlle 空(交通)管制官 focus on ~ ~に集中け lack of ~の不足 result in ~をもたら get together 協力す experiment 実験する surgeons, hospital staff 。(work) on the night shift, and air traffic controllers are just a few. These people must focus on their Jobs at all times. Concentrating is so important in their profession. A lack of focus could result in serious accidents. In the United States, a group of scientists got together and experimented on (A)two groups of university students. One group was asked to study the names of 50 countries and the flags of those countries for 5 hours in a row. The other group was asked 3 in a row 続けて (do) the same, but they took a short nap after three hours. Results got from these experiments were simple and clear. by now そろそろ Which group had better results? By now, you should know. The second group had much better results. The first group could remember about 45% of the information, but the second group got The scientists decided o(repeat) the close to 70% correct. experiment several times on different people, but the results were always the same. Taking short naps improved people's memories. Sleeping can help improve our performance, but the best way to deal with ® (become) sleepy during the day is to get enough sleep the night before. You may like to sleep in class, but I havea piece of advice for you. Get plenty of sleep the night before. Getting 4 deal with ~ ~に対処する plenty of たくさ enough sleep will give you lots of energy to spend at school. (4) You need energy to learn and play. Lots of learning and playing will give you a good night's sleep.

The other group was asked (do) the same,but they took a short nap after three hours.の(do）の動詞を適切な形に変えてもらいたいです、。

2 Actually, this is importai OTT requir Jobs? Surgeons, hospital staff 。 (work) on the night shift, and air traffic controllers are just a few. These people must focus on their Lhat require high levels of concentration. Can you think of such Conce surge on th 夜 Jobs at all times. Concentrating is so important in their profession. A lack of focus could result in serious accidents. air focu lack 3 resi In the United States, a group of scientists got together and get exp experimented on (a)two groups of university students. One group was asked to study the names of 50 countries and the flags of those countries for 5 hours in a row. The other group was asked in ③ (do) the same, but they took a short nap after three hours. Results got from these experiments were simple and clear. b Which group had better results? By now, you should know. The second group had much better results. The first group could remember about 45% of the information, but the second group got close to 70% correct. The scientists decided g (repeat) the experiment several times on different people, but the results were Taking sh0rt.

この問題をおねがいします。

Target Unit 3 長文間題I 睡眠がもたらすカ の不定詞 の動名詞 の助動詞 の分詞 6関係代名詞 1 Do you ever fall asleep during class? What happens? Perhaps, Do you ever ~? ~することがあります you are scolded by your teacher. How about at home? Do you ever か? fall asleep 眠り込む are scolded 叱られる take naps 仮眠する afterward その後 following 次の catching a few z's うとうとすること take naps? Hqw do you feel afterward? You will be happy o(read) the following information. Many scientists now say that catching a few z's can improve your performance. (1) You must be so happy to hear this, so let's continue. Actually, this is important news for (2)people who have jobs 2 that require high levels of concentration. Can you think of such require ~を必要とする concentration 集中(力) surgeon 外科医 on the night shift 夜勤で air traffic controller 航 空(交通)管制官 focus on ~ ~に集中(する lack of ~の不足 result in ~をもたらす get together 協力する experiment 実験する jobs? Surgeons, hospital staff e (work) on the night shift, and air traffic controllers are just a few. These people must focus on their jobs at all times. Concentrating is so important in their profession. A lack of focus could result in serious accidents. 3 In the United States, a group of scientists got together and experimented on two groups of university students. One group was asked to study the names of 50 countries and the flags of those countries for 5 hours in a row. The other group was asked in a row 続けて 3 (do) the same, but they took a short nap after three hours. (3) Results got from these experiments were simple and clear. Which group had better results? By now, you should know. The by now そろそろ second group had much better results. The first group could remember about 45% of the information, but the second group got The scientists decided o (repeat) the close to 70% correct. experiment several times on different people, but the results were always the same. Taking short naps improved people's memories. Sleeping can help improve our performance, but the best way to deal with g (become) sleepy during the day is to get enough sleep the night before. You may like to sleep in class, but I havea piece of advice for you. Get plenty of sleep the night before. Getting 4 deal with ~ ~に対処する plenty of たくさん enough sleep will give you lots of energy to spend at school. (4) You need energy to learn and play. Lots of learning and playing will give you a good night's sleep.