【正文】 year. If the closing balance of Carl39。s account for May of last year was $2600, what was the range of the monthly closing balances of Carl39。s account last year?(1) Last year the closing balance of Carl39。s account for April was less than $2625. (2) Last year the closing balance of Carl39。s account for June was less than $2675. A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.11 At the beginning of a fiveday trading week, the price of a certain stock was $10 per share. During the week, four of the five closing prices of the stock exceeded $10. Did the average closing price of the stock during the week exceed its price at the beginning of the week?(1) The stock39。s closing price on Tuesday was the same as its closing price on Thursday. (2) The sum of the stock39。s highest and lowest closing prices during the week was 20.A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.12 If n is a positive integer and r is the remainder when (n1)(n+1) is divided by 24, what is the value of r?(1) 2 is not a factor of n. (2) 3 is not a factor of n.A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.13 三人獨立地去破譯一個密碼，他們能譯出的概率分別為 1/5,1/3,1/4, 求此密 碼被譯出的概率。14 某市共有 10000 輛自行車，其牌照號碼從 00001 到 10000，求偶然遇到的 一輛自行車，其牌照號碼中有數字 8 的概率。15 用 0,2,4,6,9 這五個數字可以組成數字不重復的五位偶數共有多少個？16有 5 個隊伍參加了足球聯賽，任意兩隊之間都要進行主客場各一場比賽，問總 共將有多少場比賽？17 甲，乙，丙，丁，戊五人并排站成一排，如果乙必須站在甲的右邊（甲乙可 以不相鄰），那么不同的排法共有多少種？18 4 本不同的書分給 2 人，每人 2 本，不同的分法有多少種？19 兩把 keys,放到有 5 個 keys 的 keychain 中，相鄰的概率為多少(分直線和環(huán) 形)？20 6 張同排連號的電影票，分給 3 名男生和 3 名女生，如欲男女相間而坐，則 不同的分法數為多少？21 有 4 對人，從中取 3 個人，不能從任意一對中取 2 個，問有多少種取法？22 從 6 雙不同的手套中任取 4 只，求其中恰有一雙配對的概率。23 3 封不同的信，有 4 個信箱可供投遞，共有多少種投信的方法？24 3 個打字員為 4 家公司服務，現在每家公司各有 1 份文件需要錄入，問每個打 字員都收到文件的概率？25 A 發(fā)生的概率是 ，B 發(fā)生的概率是 ，問 A,B 都不發(fā)生的最大概率？26 袋中有 a 只白球，b 只紅球，依次將球一只只摸出，不放回。求第 k 次摸出 的是個白球的概率（1≤k≤a+b）。27 擲一枚均勻硬幣 2n 次，求出現正面 k 次的概率。28 有 4 組人，每組一男一女，從每組各取一人，問取出兩男兩女的概率？29 A certain roller coaster has 3 cars, and a passenger is equally likely to ride in any 1 of the 3 cars each time that passenger rides the roller coaster. If a certain passenger is to ride the roller coaster 3 times, what is the probability that the passenger will ride in each of the 3 cars?（A）0 （B）1/9（C）2/9 （D）1/3（E）130A gardener is going to plant 2 red rosebushes and 2 white rosebushes. If the gardener is to select each of the bushes at random, one at a time, and plant them in a row, what is the probability that the 2 rosebushes in the middle of the row will be the red rosebushes?（A）1/12 （B）1/6 （C）1/5 （D）1/3 （E）1/231 If a mittee of 3 people is to be selected from among 5 married couples so that the mittee does not include two people who are married to each other, how many such mittees are possible?（A）20 （B）40 （C）50 （D）80 （E）12032 How many sevendigit numbers contain the digit 39。739。 at least once?33 In how many ways can seven students A, B, C, D, E, F and G line up in one row if students B and C are always next to each other?34 There are 5 cars to be displayed in 5 parking spaces with all the cars facing the same direction. Of the 5 cars, 3 are red, 1 is blue, and 1 is yellow. If the cars are identical except for color, how many different display arrangements of the 5 cars are possible?(A)20 (B) 25 (C) 40 (D) 60 (E) 12535 How many different 6letter sequences are there that consist of 1 A, 2 B’s, and 3C’s ?(A)6 (B) 60 (C) 120 (D) 360 (E) 72036 In how many distinguishable ways can the seven letters in the wordMINIMUM be arranged, if all the letters are used each time? (A) 7 (B) 42 (C) 420 (D) 840 (E)504037 A photographer will arrange 6 people of 6 different heights for photograph by placing them in two rows of three so that each person in the first row is standing in front of someone in the second row. The heights of the people within each row must increase from left to right, and each person in the secondrow must be taller than the person standing in front of him or her. How many such arrangements of the 6 people are possible?(A)S (B) 6 (C) 9 (D) 24 (E)36