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PREP07 Test 2 PREP07 Test 1 Manhattan Magoosh KMFPS 排列组合 几何 应用题 代数 数论 OG20 OG21 OG20-数学分册 OG20-语文分册 OG19-数学分册 OG19 OG18-数学分册 OG18 OG17 OG16 OG15 OG12 OG2022

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序号 题目内容
1 A company has assigned a distinct 3-digit code number to each of its 330 employees. Each code number was formed from the digits 2, 3, 4, 5, 6, 7, 8, 9 and no digit appears more than once in any one code number. How many unassigned code numbers are there?
2 An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 7 stocks are possible?
3 From a group of 3 boys and 3 girls, 4 children are to be randomly selected. What is the probability that equal numbers of boys and girls will be selected?
5 How many 4-digit positive integers are there in which all 4 digits are even?
7 There are 8 books on a shelf, of which 2 are paperbacks and 6 are hardbacks. How many possible selections of 4 books from this self include at least one paperback?
8 How many different 6-letter sequences are there that consist of 1 A,2 B's,and3 C's ?
10 When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 3 times, what is the probability that it will land on the same side each time?
11 If a certain coin is flipped, the probability that the coin will land heads is $$\frac1 2$$. If the coin is flipped 5 times, what is the probability that it will land heads up on the first 3 flips and not on the last 2 flips?
12 A coin that is tossed will land heads or tails, and each outcome has equal probability. What is the probability that the coin will land heads at least once on two tosses?

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