(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

2️⃣って何を書けばいいんでしょうか？(⚭-⚭ )

2 次のイラストに合うように, ( )に適切な語を書きなさい。 (完答4点×3= $100 $400 1) The belt is ( 2) The coat is ( 3) The bag is three ( )( ) ( ) expensive ( ) the four. ) ( ) expensive ( ) the $120 ) expensive as the jacket. $300 belt. (4点×2=8点)

この3つが分かりません。教えてください🙇‍♀️

wal Rainforest trees are used to make things which we use every day. Rubber, for example, is used to make many things. The fruits of many forest trees ( 7 ) — forest people have eaten them for thousands of years. Today, all over the world, people eat rainforest food plants; for example, coffee, tea, oranges, and rice. Corn, which is an important food for many people of the world, is another rainforest plant. In 1970, a disease destroyed half the corn in the United States of America. Scientists began to look for new species in the rainforests. In 1987, in the Mexican rainforest, they found a new species which is stronger than other species. But we nearly lost this new species, because people were already cutting down that part of the Mexican rainforest. Hollywood, Los Angele movie stud (1) knows how many useful plants are already lost because people have SHOULD destroyed many of the rainforests of the world. Directors, actors, and writ The trees of the rainforests help the Earth's air because their leaves use carbon dioxide and make oxygen, which we need to live. its high point in these year They are also important because they control some of the Earth's weather. Through they give out water vapor which makes heavy clouds. The clouds then move to other parts of the Earth and give rain. The clouds also protect the Earth their large leaves, from the sun. (ウ) 日 moved to like Today, the Earth is slowly getting hotter, and in some places changes in the weather are making life much more difficult. We need to learn more about the Earth's weather while we still have the rainforests. and see the golden

4の書き換えがよく分かりません。 教えてください🙇‍♀️

man for (1) a onnectedness is, in fact, a virtue bothered. If the clerk always wants to chat ates should be prohibited at a gift makes a (2A). The French anthropologist Claude where. I just want a hacksaw blade. ss tells of Léx (3) seemingly trivial ceremony during a meal in cheap rants in France. The guests sit at a long, *communal table, and each pour bottle of wine before his plate. Before the meal begins, a man will e not into his own glass but into his neighbor's. And his neighbor will the gesture, filling the first man's empty glass. In an economic sense has happened. (4) No one has any more wine than he had originally. ety has appeared where there was none before. The French tend to trangers, but in these little restaurants, strangers find themselves (5) close relationship for an hour or more. "A conflict exists," says Lévi- "not very keen, but real enough to create a state of tension between of privacy and the fact of community. ... This is the temporary but ituation resolved by the exchange of wine. It is an * assertion of which does away with the mutual *uncertainty." Just sitting at the becomes social life through an exchange of gifts. Further, the the wine allows another exchange - ( 2C ). dware store: 金物店 munal: 共用の hacksaw: (金属を切るために用いる) 弓のこ uncertainty: 半信半疑 assertion: 表明

大至急 True or FalseとQuestion and Answerの答えを教えてほしいですおねがいします

Unit 7 Scene 1 ★★ 著作権について There are many unique and precious places in the world. Some of them are selected as World Heritage sites. They are not selected for their own countries. They are for people all over the world. There are three types of World Heritage sites — natural, cultural, and mixed. The selection standards were decided at the UNESCO General Conference in 1972. [59 words]

これは合ってますか

2 (3) HHR:NN: H=H+(42NEN (R-2)α-2 (2-2)=0 (A) R-H(α-2) HO- H÷CHH-C-H ()8-29H ( H 11+0² () (OCO (1) 0=C=0 (カ) H&CN H-C=N H H:N:H-N H I-Z-I H

2の書き換えをどのようにしたら良いのか分かりません！ 至急教えていただきたいです！

nolno tai noino Lau 2 Fill in the blanks so that they mean almost the same thing. 1) a) She said to me, "I am thirsty now." b) She ( ) ( ) that ( 2) a) He said to me, “I have been to Thailand twice.” ) ( ) that ( ) () thirsty (______). b) He ( 20 )(_)( 3) a) She said to me, “I bought my house three years ago.” b) She ( ) ( ) that ( ) ( D( ) ( 4) a) He said to her, "Your watch will be fixed by tomorrow.” ) ( ) that ( ) watch ( b) He ( 5) a) Mary said yesterday, "I will attend the meeting tomorrow." Molim b) Mary said yesterday that ( ) ( ) attend the meeting ( ) to Thailand twice. ) house three years ( B ). ) be fixed by ( )( )( ).

これの模範解答は4番なんですけど、3番でも正解では！？ 彼は来週の日曜日、神戸に3年滞在します。という意味になると思うんですけど、全然自然な文では？！ 誰か助けて下さい

9 Next Sunday he ( has stayed 3 will stay ) in Kobe for three years. altho 2 stays** 200 4 will have stayed *K

黄色いマーカー部分、 seemed to を分詞構文に書き替えるとどうなりますか？

malaria, cholera, plague, beriberi, or influenza, because of the environmental changes or globalism. Among them, tuberculosis had made humans suffer for a long time. A mummy from about 1000 B.C. in Egypt had its signs of tuberculosis, and the disease seemed to have been in Jerusalem during the time of Jesus Christ In Japan, it was found in the human bones from the Yayoi era. After 1900 it ranked high as hray a major cause of death, called one of the most fearful "incurable" diseases. However, now, we have overcome tuberculosis because the method to cure it was established by Alexander Fleming. and it being.

この問題の解き方は分かったのですが、「よって-4S=5ⁿ-1/5-1」から「すなわち-4S=(1-4n)•5ⁿ-1/4」にかけてどう計算してあるのか分からず途中式どうなってるのか分かりません。

[] 67 次の和Sを求めよ。 CHRIS *(1) S=1･1+2･5+35+45°+..+n・5″-1 2 3 4 (al n