Practice Questions on Permutation-Combination
Aptitude Questions and Answers

Common Information

There are $5$ freshmen, $8$ sophomores, and $7$ juniors in a chess club. Find the number of orders in which the $6$ students from this club can win the first six prizes:

Easy Permutation-Combination Question - 6

Q6.

Common Information Question: 1/4

If all students attend the competition and the winners are exactly 3 freshmen.

A.

$3! × {^5C_3} × {^{15}C_3}$

B.

$3! × {^5P_3} × {^{15}P_3}$

C.

$6! × {^5C_3} × {^{15}C_3}$

D.

$6! × {^5P_3} × {^{15}P_3}$

 View Ans

Easy Permutation-Combination Question - 7

Q7.

Common Information Question: 2/4

If all students attend the competition and the winners are exactly 3 freshmen and 3 sophomores.

A.

$3! × {^5C_3} × {^15C_3}$

B.

$3! × {^5C_3} × {^8C_3}$

C.

$6! × {^5P_3} × {^15P_3}$

D.

$6! × {^5C_3} × {^8C_3}$

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Easy Permutation-Combination Question - 8

Q8.

Common Information Question: 3/4

If all students attend the competition and the winners are an equal number of freshmen, sophomores, and juniors.

A.

$6! × {^5C_2} × {^8C_2} × {^7C_2}$

B.

$3! × {^5C_2} × {^8C_2} × {^7C_2}$

C.

$6! × {^5P_2} × {^8P_2} × {^7P_2}$

D.

$3! × {^5P_2} × {^8P_2} × {^7P_2}$

 View Ans

Easy Permutation-Combination Question - 9

Q9.

Common Information Question: 4/4

If all students attend the competition and the winners are all members of the same class.

A.

21,200

B.

23,200

C.

25,200

D.

27,200

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Easy Permutation-Combination Question - 10

Q10.

Find the number of ways in which $8064$ can be resolved as the product of two factors?

A.

22

B.

24

C.

21

D.

20

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