Practice Questions on Permutation-Combination
Aptitude 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

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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

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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

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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

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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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