# Practice Questions on Permutation-CombinationAptitude Questions and Answers

## Moderate Permutation-Combination Question - 1

 Q1. A father with $8$ children takes $3$ children at a time to the zoological garden, as often as he can without taking the same $3$ children together more than once. Then:
 A. number of times he will go to zoological garden is $56$. B. number of times each child will go to the zoological garden is $21$. C. number of times a particular child will not go to the zoological garden is $35$. D. All of the above.

## Moderate Permutation-Combination Question - 2

 Q2. If the letters of the word $CHASM$ are rearranged to form $5$ letter words such that none of the word repeat and the results arranged in ascending order as in a dictionary what is the rank of the word $CHASM$?
 A. 24 B. 31 C. 32 D. 30

## Moderate Permutation-Combination Question - 3

 Q3. In how many ways can $5$ different toys be packed in $3$ identical boxes such that no box is empty, if any of the boxes may hold all of the toys?
 A. 20 B. 30 C. 25 D. 600 E. 480

## Moderate Permutation-Combination Question - 4

 Q4. What is the value of $1×1! + 2×2! + 3×3! + ............ n×n!$; where $n!$ means $n$ factorial or $n(n-1)(n-2)...1$
 A. $n(n-1)(n-1)!$ B. ${(n+1)!}/{n(n-1)}$ C. $(n+1)! - n!$ D. $(n + 1)! - 1!$

## Moderate Permutation-Combination Question - 5

 Q5. When six fair coins are tossed simultaneously, in how many of the outcomes will at most three of the coins turn up as heads?
 A. $2^5$ B. $41$ C. $22$ D. $42$ E. $31$
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