Practice Questions on Permutation-Combination
Aptitude Questions and Answers

Moderate Permutation-Combination Question - 46

Q46.

In how many ways can 3 men and their wives be made stand in a line such that none of the 3 men stand in a position that is ahead of his wife?

A.

$\dfrac{6!}{3! × 3! × 3!}$

B.

$\dfrac{6!}{2! × 2!}$

C.

$\dfrac{6!}{2! × 2! × 2!}$

D.

$\dfrac{6!}{2! × 3!}$

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Moderate Permutation-Combination Question - 47

Q47.

In a cricket match if a batsman score $0,1,2,3,4$ or $6$ runs of a ball, then find the number or different sequences in which he can score exactly 30 runs of an over.

Assume that an over consists of only 6 balls and there were no extra and no run outs.

A.

86

B.

71

C.

56

D.

65

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Moderate Permutation-Combination Question - 48

Q48.

In how many ways can the letters of the word $MANAGEMENT$ be rearranged so that the two $A$s do not appear together?

A.

10! - 2!

B.

9! - 2!

C.

10! - 9!

D.

$\text{None of these}$

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Moderate Permutation-Combination Question - 49

Q49.

How many numbers are there between 100 and 1000 such that at least one of their digits is 6?

A.

200

B.

225

C.

252

D.

120

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Moderate Permutation-Combination Question - 50

Q50.

A student is required to answer 6 out of 10 questions divided into two groups each containing 5 questions.

He is not permitted to attempt more than 4 from each group. In how many ways can he make the choice?

A.

210

B.

150

C.

100

D.

200

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