# Practice Questions on Permutation-CombinationAptitude 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. $6! × {^5P_3} × {^{15}P_3}$

## 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. $6! × {^5C_3} × {^8C_3}$

## 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. $3! × {^5P_2} × {^8P_2} × {^7P_2}$

## 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

## 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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