(2)で動画の解説ではボールを3個足して組み合わせで考えても良いとありました。何故勝手にボールを3個足してもいいのですか？？ 教えて下さい。よろしくお願いします🥲

れ3組に分けたボールを順に A, B, Cの箱に入れ 7-1 前に入れる。 |のボールも入らない箱があってもよいものとする。 n ボール ^ベへ 、すき間 ると考えればよいので、 (n-1)(n-2) オー1C= 個のボールと,2枚の仕切りの合計 (n+2) 個を ○, O, O, …, O, 1, | 1列に並べる順列を作り,仕切りで区切られた3組の ボールをそれぞれ A, B, C の箱に入れればよいから, 求める総数は,同種のものを1列に並べる順列の個 数の公式により 2(n-3)! 2 である。 n を1列に並べる n!2! である。 2 1°(1)と(2)の最終結果は n → n+3 の違いしかないが, これには必然性が Notes ある。というのは, (1), (2)は [a+b+c=n (1) 1a21, b21, c21 Ja+b+c=n la20, b20, c20 を満たす整数 a, 6, cの組(a, 6, c) の総数であるからである。 |2° この問題を解くには, 上に示したものの他にもいろいろな考え方がある. 特に 有名なのは、(2)において, r種の中から重複を許してn個とって作る組合せ (いわ ゆる重複組合せ)の総数, H を考えるものであろう. (2)はこの記号を使えば H。 である.ただし, sHnを求める公式 デH= は,組合せの総数を表す記号を用いて H,=rキnー1Cy-1=r+nー1Cm と表されることもあり,覚えるほどの価値はない。 士k 1 と後ーマ 担士

34の問題です！略が プレゼンテーションが行われている間、教師たちはメモをとり続けた になるのですがこのgiveはどんな意味になっているのですか？ お願いします！😣

14:38 ★ O OO p9 4G 168% 閉じる 32 ロ food there , will HUL 選さ Point 013 ンに 33 I have to find a policeman as soon as possible because my hac ロ(). O has been stealing 3 has stolen 日 3 ② has been stolen くと の ④ was being stolen く京都産大) 1. す。 こ ) the teachers were taking notes. 34 While the presentation ( ロO was being given ② has been given 3 was giving ④ gave く松山大) Point 014 問 作」 35 On his way home, Taro was ( O spoken at )a stranger. 2 spoken to by

分かるとこだけでも大丈夫です！！ お願いします！！

|英文の空所を埋めるのに適切な語句を、 (1)~(4)から選びなさい。 of air conditioners is needed. 3.0 matter A technician with 1.0 demand 2。 knowledge 4.0 capacity The construction project is in its AO final stages. 3.0 finalize 2.0 finally 4.0 finalization Tickets will be available for the final concert at a rate. 1.0 reduced 2.0 reducing 3 reduction 4.0 reduce for this brand. The price of these parts is 1.0 reason 2.0 reasonable 3.0 reasonably 4.0 reasoning Ms. Stratton gave a very speech at the conference. 1.0 memorable 2.0 memorize 3.0 memories 4.0 memory The meeting came to an early 1.0 conclude 2.0 Conclusion 3.0 conclusive 4.0 concluding were the cause of the delivery delays in the factory. 2.0 Accidentally 1.0 Accident 3.0 Accidental 4.0 Accidents at the Hamilton office. 3.0 regularly Staff meetings are held 1.0 regular 2.0 regularity 4.0 regulate The factory has stopped releasing 1.0 ham gasses into the environment. 3.0 harmfully 2.0 harms 4.0 harmful Everyone 1.0 is looked forward to the president's arrival. 2.0 is being looked 3.0 to look 4.0 is looking

theの後のprogressを動詞として捉えて良いのでしょうか。 自分は、theの後は名詞が来ると考えてしました。

CD 本文:p.2 O We all know(from a study of history)the progress (of the working people) from the stage Of barbarism to that of slavery, serfdom and later individual freedor) In the ēarly days of human history the wants of the masses were few and simple.

34番の答えが①なのですがなぜ進行形の受動態になるのですか？

33.I have to find a police officer because my bag ( D has been stealing 3 has stolen was being stolen has been stolen ) the teachers were taking notes. 34While the presentation ( O was being given 2 has been given was given 4) gave 35. His name is known ( ) everyone in our town. の for 3 with 4 in to

(a)に入るのが、attendingなのですが、なぜでしょうか？ 教えてください！

その番号を記入せよ。 なんて attend ing (24点) This weekend, I had the pleasure of ( a ) my dear friend Dara Lynn's baby shower. Over a lunch of clam chowder, sirloin steak, and chocolate cake, I caught up (b) two of her friends, Amanda and Andrea, from law school. They were both lawyers now, and the subject of networking and responding to requests from people who were looking for career advice ( c ) up. Like many successful professionals, the two women were happy to help those who reached out to them for their professional opinion and guidance. However, they had a hard ( d ) believing how many of those people failed to thank them for their time afterward. It is unbelievable that anyone would reach out to a person who is obviously quite busy witha demanding job in addition to ( e )a parent and home-owner, ask that person to give up their time, and then not follow up with a simple thank you. If you are asking someone for a ( f ), you should let them know you appreciate that person's effort. Amanda told the story ofa young man, a few years out of law school, with (g) she had spent more than an hour giving advice. Shenoted he was not writing down any of the names of people or organizations she had suggested he contact. Instead of a thank-you note the following day, she received an email from him asking her ( h ) send him the names of the people she had mentioned. I was shocked that someone would be so “self-important"” and show such a ( i )

1.B 2.C 3.A 合っていますか？ 間違っていたら直してください。 よろしくお願いします

6 2-26 次のバッセージを読んで1~3の質問に答えましょう。 Ireland Westlife is a very successful Irish pop vocal group. How much do von know about the country they are from: Ireland? Ireland is a European country on the island of Ireland. The countrv is sometimes called the Republic of Ireland, since there are two countries on the island: The Republic of Ireland and Northern Ireland. The Republic of Ireland covers about five-sixths of the island, while Northern Ireland covers the other sixth and is part of the United Kingdom. Ireland has two official languages: Irish and English. English is the main language spoken, but Irishis the first official language. The Republic's capital is Dublin, and Westlife was formed in this city. The island of Ireland (A) is sometimes called the Republic of Northern Ireland (B) consists of two countries (C) is part of the United Kingdom Northern Ireland covers about of the island of Ireland. (A) one-fourth (B) one-fifth (C) one-sixth bem 3. Which sentence is true about the Republic of Ireland? (A) The main government of the country is Iocated in Dublin. (B) English is the first official language of the cOunry. (C) It has more than two official languages. NOTES 99 Dublin:ダブリン capital: 首都

1 4 7 8 9 10 11 12番の問題の解説お願いします。 答えはそれぞれ 3 3 3 3 1 3 2 1 です。 一つでもいいのでお願いします

【1】次の( )内に入るのに最も適当なものを一つ選び、番号で答えよ。 (1) We could meet downtown. ( O Are you convenient (② Is it convenient of you 3 Will that be convenient for you ④ Will you be convenient (2) The chimpanzee is an intelligent creature, ( ) of solving simple problems. 0 able 2 enable ③ capable ④ possible (3) You've got J on your tie. Did you have fried eggs for breakfast? 0a few eggs (2) an egg 3 some egg ④ some eggs (4) Slow downa bit. Otherwise, you'll have to pay a huge ( ) for speeding. の admission ② charge ③ fine ④ tuition (5) My mother is a ( ). Her work is filling, cleaning, and pulling out teeth. 1 chemist ② dentist ③ nurse ) surgeon (6) A: I'm thirsty. Is there anything to drink? B: Well, there is ( )apple juice in the refrigerator. 0a few 2 a few of ③ alittle ④ a little of (7) He was ( ) hit by the car while crossing the street. 0 closely 2 hardly ③ nearly scarcely (8) It's too late to go out now. ), it's starting to rain. の All the same ② At least ③ Besides ④ Therefore (9) It will be ( ) autumn when you get to London. の late の lately ③ last ④1latest (10) The discussion the villagers had on the environment was quite ( 0 alive ② lived ③ lively ④ living (11) For ( ) information, call us at the number below. 0 few 2 further ③ many ④ several (12) A: Is your CD player anything like sister's? your B: Yes, they're exactly ( 0 alike 2 like ③ likely ④ same

この⑧の文系を教えていただけますか？ 文章が長くてよくわかりませんでした お願いします🙇‍♀️

認識する ®Second, you can quickly recognize pictograms evenif they へのために アザイン 魚鮮明な are far away because of_their simple design. and bright colors..

至急！！16番〜20番の答えが知りたいです！ 助けてください🙇‍♂️

16. I took notes ( ) forget the important suggestions that he made. SOTds ybpje ot imid Tof \gldiaeog 。 ) so as not to 2) So long as to (大命立。 A ( CS 3) so far as not as soon as to 口17. The bad weather made them ( ) the picnic. O postponed る ② to postpone (③ postpone ④ postponing 1ol amerdun lo 99mo2 ( of \tnsotimgia \gvsd Vbevsilod\n99d Vet bovsilod \ n99d \9ts \s 口 18.( he to leave this evening? BTYG nsitoqallind ortw ③ Is 0 Can ② Does 4 Will 19. Not a star ( ) seen in the sky. Dwas to be ② being 3 has nowing の had gi \19o laaim \ 1onpd \Vm) vhuse ar aaimm \tortof (大) 20. If you ( ) to win the game, you must train more. D do 2) are (3were for ④ don't have