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1. 符合 X^2+Y^2<=100的整數(shù)解共有多少對(duì)?
2. Right triangle PQR is to be constructed in the xy-plane so that the right angle is at P and PR is parrallel to the x-axis. The x-and y-coordinates of P,Q,and Rare to be integers that satisfy the inequalities -4<=x<=5,6<=y<=16,how many different triangles with these properties could be constructed?
(A) 110
(B) 1100
(C) 9900
(D) 10000
(E) 12100
3. A box contains 100 balls, numbered from 1 to 100. If three balls are selected at random and with replacement from the box,what is the probability that the sum of the three numbers on the balls selected from the box will be odd?
(A) 1/4
(B) 3/8
(C) 1/2
(D) 5/8
(E) 3/4
4. (0-9) 要組成三位電話(huà)號(hào)碼,第一位不能是0或1,三位數(shù)中相鄰兩位不能為同一數(shù). (e.g. 227 not acceptable, but 272 acceptable),求可以組成多少個(gè)這樣的電話(huà)號(hào)碼?
5. 從1,2,3,4,5,6,7,8,9中選出三個(gè)數(shù)字組成一個(gè)三位數(shù),這個(gè)三位數(shù)的digits中有兩個(gè)相同,另一個(gè)digit與其它兩個(gè)都不同,問(wèn)共有多少個(gè)這樣的三位數(shù)?
(A) 72
(B) 144
(C) 180
(D) 216
(E) 54