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数学 高校生

完全順列の話なんですけど、樹形図のは理解できるんですけど検討っていうところのW(2)=1のところからわからないです n=2のとき2、1の1通りしかないからの意味がわからないです

[武庫川女子大] 重要 15 完全順列番目の数が 指 5人 1,2,3,4,5とし, それぞれの人のあて名を書いた封筒を ①, ②, ③, ④,⑤ 封筒を作成した。 招待状を全部間違った封筒に入れる方法は何通りあるか に招待状を送るため, あて名を書いた招待状と, それを入れるあて名を書い よって, 1,2,3,4,5の5人を1列に並べたとき, k番目がんでない順列の数を求め 招待状を [2], 33, 4, 55 とすると, 問題の条件は≠(k=1, 2,3,45) ればよい。 1番目は1でない。 5人を1,2,3,4,5とすると,求める場合の数は、5人を 解答1列に並べた順列のうち、k番目がk(k=1,2,3,4,5) でないものの個数に等しい。 1-5-4 1番目が2のとき、条件を満たす順列は,次の11 通り。 参考樹形図を作る際は、 2-3 4-5-1 -4-5-3 例えば 1-4 2-14 5-3-4 1-3-4 2-1< - 5-3 -3 25 -5-3-4 4< ・3- 1 のように書き, ○内の数字 3-1 1番目が3, 4,5のときも条件を満たす順列は,同様に 11 の下にその数字を並べない ようにするとよい。 通りずつある。 11×4=44 (通り) よって 求める方法の数は 完全順列(次ページの参考事項も参照) 検討 1~nのn個の数字を1列に並べた順列のうち、どのk番目の数字もんでないものを急 全順列」という。完全順列の総数を調べるには,上の解答のように樹形図をかいてもよい。 しかし,nの値が大きくなると,樹形図をかくのは大変。 そこで, n≧4のときの完全順列 については,1つ前や2つ前の結果を利用して調べてみよう。 In個の数字の順列①, 2, の完全順列の総数を W (n) で表す。 2 n=1のとき W(1)=0 n=2のとき, ②1の1通りしかないから W (2)=1 n=3のとき, ②③1, ③1 2 の2通りあるから n=4のとき,まず,1, 2 ③の3個の数字の順列の最後に 4 を並べる。 W(3)=2 [1] 3個の数字の順列が 完全順列であるときと1~3番目の数字を入れ替える。 例えば,②③①④ において、④と①を入れ替える [2] k=1,2,3 とする。 3個の数字の順列で1つだけ番目のものがEであるとき ②③4① (残る2個の数字は完全順列になっている) 完全順列 例えば,②①③④ において、④と③を入れ替えると [1] の場合は3通りの入れ替え方があり, [2] の場合も3通りの入れ替え方がある。 と④を入れ替える。 よって W (4)=3×W(3) +3×W(2) = 3×2+3×1=9 2② 14④③3 完全順列 練習 右の図のよう (以後次ページに続く) 354 冒 1-5-3 1-3 ※以下 n 12 n= [

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英語 高校生

全体的に分かりません💦教えてください🙇‍♀️

2238 The children came in one after( (花園大) 0 an another and another 3 another の other 6 the another 2239 “How about these shoes, madam?" “Oh, they are too large for me. Show me( ① smaller ones (白嶋大女子短大) 2 them a smaller one の it 2240 No one would help me, so I had to do the work by( ③ myself (京都産業大) 0 alone の oneself me 2 241 もう100ドルあればそのコンピューターが買えるでしょう。 ) 100 dollars would be sufficient to buy that computer. (東京都立医療技術短大) 0 Some ② Another ③ More Over ) of the participants had an opportunity to speak at the meeting. ③ Every 2242 (近畿大) ① Almost 2 Each の Nobody 9 (桜美林短大) ) people present were tourists from Japan. ③ Most of 2 243 ( 0 Almost 2 Almost of Most of the 2244 The population of China is larger than ( ) of India. (名古屋外国語大) one ones 3 that の those 2 245 ( my classmates like our teacher. (京都産業大) 0 Nobody ② None of 3 No one of の Not any ) rude to ignore a formal letter of invitation. の it 2246 I consider( (福島大) 0 that の those 3 too 2247 ) was a present from my father. (センター) 2 My old this camera 0 My old camera of this ③ This my old camera ④ This old camera of mine 2248 There are some from Asian countries in the group. Four of them are Koreans, and ) are Japanese. three are Chinese. ( ① Another (九州看護福祉大) 2 Other ③ The other の The others 2249 One of my eyes is better than( (関西学院大) 0 another の other ③ others の the other ) four years. 2 250 The Olympic Games are held( ② during (天理大) 0 for at every 幅 幅

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英語 高校生

これの解答を教えていただきたいです。

Lesson Language Revitalization in Hawaii Unfortunately, the beautiful native Hawaiian language has been endangered century, making English the language of choice. At first, the discovery of Hawaii by the West seemed to help the growth cince the early 19th century. In 1778. there were 500.000 native Hawaiian of the Hawaiian language. Western people wrote the Hawaiian language in the Roman alphabet, and Hawaiian-language newspapers were printed and cneakers. However, American and British influence grew in the following ger. Hourished because most of the native population had learned to read. It was a time of major cultural change for the native Hawaiian population. However, as more immigrants came to Hawaii from America, Europe, x X causng oW up lo be dhon theory was and financial power on the islands, many parents stopped speaking Hawaiia with their children. They saw English as the language of opportunity. Then a law was passed making English the official language in schools. Due to these Parents who of their baties. and Asia, and as American and British businessmen got increasing political heir parentd g jon over the o sick people va factors, the number of Hawaiian speakers fell to about 1,000 native speakers. In the 1970s, native Hawaiians began the revitalization of the Hawaiian che condhioimn language. In 1978, Hawaiian became one of the official state languages, along Chem! with English, and became a required course in Hawaiian schools. There has addition to the 1,000 native speakers, there are now about 8,000 people that can speak and understand the language. Aarere also been an increase in Hawaiian-language schools, with some students being taught in Hawaiian and many more learning it as a second language. Thus, in (245 words) ) seconds × 60 = ( )wpm 150 wpm~… .@Advanced 245 words -( 100~149 wpm…OIntermediate -@Beginner ~99 wpm … grown.() npa Q Answer T (true) or F (false). nA of B. 3. Even though Hawaiian-language newspapers were printed, most of the Hawaiian people could not read them. 1. People in Hawaii chose English because American and British influence had 2. At first, Western people helped the Hawaiian language grow. 5. People in Hawaii have succeeded in revitalizing the Hawaiian language.() alphabet /elfabet 4. The Hawaiian language was the language of opportunity for immigrants. ( ) Hawaiian /howá:jan/ choice /tóis/n growth /gróu0/ businessmen /biznasmèn/ (<businessman) New words political /palitikal/ Hawaii /hawá:i:/ Speed Readin print /prinl/ immigrant /imigrant/ financial /fondenjal, far-/ Sads h mons Jooks like woverlookng anen and B. Theresloe, hey grow oldor, a

解決済み 回答数: 1