In how many ways can 7 women and 4 men be seated in a row of 11 seats at a movie theater assuming that all the women must sit together and all the men must sit together?
A) 241,920 B) 120,960 C) 39,916,800 D) 2048
Q. 2A license plate is to consist of 3 letters followed by 5 digits. Determine the number of different license plates possible if the first letter must be an K , L , or M and repetition of letters and numbers is not permitted.
A) 54,432,000 B) 9,072,000 C) 272,160,000 D) 54,522,000
Q. 3A poet will read 4 of her poems at an award ceremony. How many ways can she choose the 4 poems from 9 poems given that the sequence is important?
A) 3024 B) 15,120 C) 126 D) 30,240
Q. 4There are 12 runners in a race. In how many ways can the first, second, and third place finishes occur? (Assume there are no ties.)
A) 1320 B) 220 C) 1324 D) 218
Q. 5How many different arrangements are possible using 6 letters from the word PAYMENT?
A) 5040 B) 2520 C) 7 D) 42
Q. 6A pool of possible candidates for a student council consists of 10 freshmen and 8 sophomores. How many different councils consisting of 5 freshmen and 7 sophomores are possible?
A) 2016 B) 18,564 C) 206,841,600 D) 3,628,800
Q. 7If a coin is tossed 9 times, how many head-tail sequences are possible?
A) 512 B) 18 C) 362,880 D) 81
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