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数学 高校生

ここのoueの並びが一通りに決まるのは分かるのですがなぜ同じもの(Aとして)見る必要があるのですか?

(2) m, PをAとおき, t, rをBとおく、 社二 2) mがpより左に,tがrより右にあるものは何通りあるか. のすべての文字を1列に並べるとき,次の問いに答えよ。 同じものを含む順列として求める。 主回をお 母音字の o, u, eがこの順であるものは何通りあるか。 使え方(1) 0, u,eをすべてAとおき, 3つのAの場所に, o, u, e の順に入れると考えて, Check 199 computer |PをAとおき, t, IをBとおく、 1)母音字o, u, eをすべてAとおき、 A. A. A, C, m, p, t,r t4oStお焼 同ラス のAロロADADロ OSお 人1 ロ 0 u e 8!_8·7·6-5·4·3·2·1 3! Aの場所を決め, o, る人 , eをこの順に入 -6720(通り) ニ 3·2·1 れる。 の 同じ文字Aを3個含 む8個の順列 れると (2) m, pをAとおき, t, rをBとおく、 すと、 AA, A, B, B, c, o, u, e の8文字を1列に並べる順列の総数を求めればよい。 よって,求める総数は, 61418! A地2!2! Aにはm, pが, B にはr, tがこの順 に入る。 武並の AロBAロOBO 8.7·6·5·4·3·2·1 2·1-2-1 10080(通り) 11 2-1-2-1 rp t 同じ文字Aを2個, 2個のトと自鼻少装商材 2111 Bを2個含む8個の C地kからし Ocus 順列 おさ人1で 一定の順序で並べるものをすべて同じものとする

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英語 高校生

教えてほしいです!!お願いします!!

問題は【1】~【4】まである。答えは各問題の指示に従って別紙の解答用紙に書きなさい。 【1】次の英文を読んで設問に答えなさい。 Headaches are a big problem. Each year, millions of people suffer from severe headaches that affect their enjoyment of life, (1) not to mention their productivity at work. estimate, headaches cost individuals and businesses more than (2) $50 billion each year! (3) This is one of the reasons research into headaches has become a worldwide effort. Although he did not know much about how headaches work, Hippocrates was the first doctor to find a way to treat them. By 400 BC, Hippocrates had discovered that the *bark from willow trees was useful in treating pain. He made a white powder from the tree's bark and gave it to his patients. Hippocrates did not know it, but he was actually prescribing a natural chemical in willow bark called salicin. Whena person eats salicin, the chemical is changed inside his or her body into (4) salicylic acid. It turns out that salicylic acid is good for stopping pain, including headache pain, but it is bad for a person's stomach. In the 1800s, a chemist in Germany slightly changed easier for people to take. commonly known as aspirin. Aspirin was used throughout most of the 1900s to treat headaches, but doctors had little idea about what really caused headaches. When doctors can *diagnose the cause of a disease, they can find better ways to treat it. Therefore, as medical technology developed, doctors began to use it to learn more about the human brain and about headaches. In fact, according to one m to make it This new form of the chemical was called acetylsalicylic acid, now acid's Now doctors classify headaches ( A ) two general types: primary and secondary. A primary headache is a condition ( B) as only the headache itself. one caused by another physiological condition, such as an *infection or a *tumor. For primary headaches, doctors have determined three possible causes. headache is caused by stress. characteristically felt on both sides of the head as a dull, steady pain. Another kind of primary headache is the *migraine headache. Exactly what causes these headaches is not well understood, but many experts believe it could be abnormal brain activity causing changes in the brain's chemistry and blood flow. For many people, migraines are caused by certain (5) stimuli, such as poor sleep or particular foods or smells. A sufferer usually feels intense pain on one side of the head and becomes sensitive to light and noise. If the migraine is severe, the sufferer may *vomit repeatedly. The third kind of primary headache is known as the cluster headache. Cluster headaches typically occur around the same time each day for weeks or months at a time. The person ( C)from this kind of headache usually feels pain on one side of her or his head, and the pain is centered around one of the eyes. Doctors do not know much (6) at present about cluster headaches, but they seem to be more common among men and could be related to alcohol or other things that affect a person's blood flow. Using computers and more advanced medical equipment, doctors continue to learn more about what happens in the brain before and during headaches. Especially in the case of migraines, some doctors believe they have found the part of the brain that sets off the reaction for severe attacks. With these insights into brain processes, doctors hope new ways will be discovered to stop headaches before they begin. On the other hand, a secondary headache is One kind of primary Doctors usually call these tension headaches, and they are 注: bark 樹皮 diagnose ~を診断する、~を突き止める 感染症·伝染病 migraine (headache) 偏頭痛 infection tumor 腫場 vomit 食べたものを吐く (出典:READING FOR THE REAL WORLD 3rd edition, Compass Publishing より)

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英語 高校生

助けてください❗️

5 次の英文を読んで, 設問に答えなさい。 Forty-two kilometers is a long way to run without stopping. But twenty-thousand *competitors with a lot of energy try to do that everv vear in the Boston Marathon. The race is the oldest marathon in the world held each year. Men and women aged eighteen and over run in the marathon. Some competitors are much older than eighteen. Some runners are seventy 1) and older. But most of the nunners are younger than forty. 5) Winners share five-hundred-twenty-five-thousand dollars in prize money given by companies and organizations. Runners in the Boston Marathon have shown that they are good at the sport. They completed earlier marathon races called *qualifying races. They had to run those races withina set time. Other people join the Boston Marathon just for fun. these people have not officially joined the race. They just start running with the crowds. They are called "bandit." Many of them probably will finish hours after the serious runners. But these unofficial racers are just happy. They sometimes kiss the ground after crossing the finishing line. Before the marathon begins, a *computer chip device is attached to each runner's shoe. It electronically records the runner's time. Timing begins when a runner passes another device placed across the road at the starting line. The computer chip records each runner's time as he or she 10) passes several points along the race. It records the runner's final time when crossing the finishing line. Running has gained popularity for several reasons. You can do it anywhere, any time. You do not need other people, and you do not need much *equipment. However, experts say you should wear a good pair of running shoes to protect your feet. The manufacture of running shoes has become a huge industry. 15) (注):competitors 競争者, 谷 qualifying races 参加資格選考レース ftow ol jcaw yilnot computer chip device コンピューターチィップ装置、 equipment 装備 m ow o1 sVed I ( Tmm ow vami (下) 次の英文(ア)~(ソ)の中から, 本文の内容と一致するものを5つだけ選びなさい。 (lo buid ev adT (T)(5) 問 ab gnidaaw ucoM (マ) (ア)Boston has held a marathon each year longer than any other city has. ood l I () 5 解答欄 各6点 d a V bastl yod d aw The number of competitors in the Boston Marathon is limited to no more than ten-thousand. T. (ウ)Competitors in the Boston Marathon are at least eighteen years of age. Vab balbom (エ) The majority of the runners in the Boston Marathon are over forty years of age. bad d (オ) The winner of the Boston Marathon receives five-hundred-twenty-five-thousand dollars in prize money given by companies and organizations. xe (カ)Some of the official runners in the Boston Marathon have never run a marathon before. ld (キ)In order to officially enter the Boston Marathon, a runner must run a qualifying race within a set time. (ク)The people who join the Boston Marathon just for fun register one hour before the race. (ケ)Most of the unofficial racers are much faster than the serious racers. pbo dh al oinogiojeg olmd boresvan nis nd aT (コ) The unofficial runners sometimes kiss the ground after crossing the starting line. (サ)A computer chip is attached to each runner's shoe to record electronically the time it takes a runner to run the race. (シ)The only times recorded are the starting time and the finishing time. 00 lod lt (ス) Unofficial runners are often happy because they get better chips in their shoes than official runners get. (セ)The recording of the race time starts when the runner crosses the starting line. id bot odo od (ソ) Running has gained popularity for only one reason.

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