# Practice Questions on Permutation-CombinationAptitude Questions and Answers

Common Information

There are $5$ freshmen, $8$ sophomores, and $7$ juniors in a chess club. A group of $6$ students will be chosen to compete in a competition.

 Q1. Common Information Question: 1/4 How many combinations of students are possible if the group is to consist of exactly 3 freshmen?
 A. 5000 B. 4550 C. 4000 D. 3550
 Q2. Common Information Question: 2/4 How many combinations of students are possible if the group is to consist of exactly 3 freshmen and 3 sophomores?
 A. 360 B. 460 C. 560 D. 660

 Q3. Common Information Question: 3/4 How many combinations of students are possible if the group is to consist of an equal number of freshmen, sophomores, and juniors?
 A. 5880 B. 6880 C. 7880 D. 8880
 Q4. Common Information Question: 4/4 How many combinations of students are possible if the group is to consist of all members of the same class?
 A. 20 B. 25 C. 30 D. 35

 Q5. How many ways can 4 prizes be given away to 3 boys, if each boy is eligible for all the prizes?
 A. 256 B. 24 C. 12 D. None of these
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