# Practice Questions on Permutation-CombinationAptitude Questions and Answers

## Easy Permutation-Combination Question - 31

 Q31. After every get-together every person present shakes the hand of every other person. If there were $105$ handshakes in all, how many persons were present in the party?
 A. 14 B. 13 C. 15 D. 16

## Easy Permutation-Combination Question - 32

 Q32. How many diagonals can be drawn in a pentagon?
 A. 5 B. 7 C. 8 D. 10

## Easy Permutation-Combination Question - 33

 Q33. There are five women and six men in a group.   From this group a committee of $4$ is to be chosen.   How many different ways can a committee be formed that contain three women and one man?
 A. 55 B. 60 C. 25 D. 192

## Easy Permutation-Combination Question - 34

 Q34. Find  the  total  number  of  distinct  vehicle  numbers  that  can  be  formed  using  two letters followed by two numbers. Letters need to be distinct.
 A. $60,000$ B. $65,000$ C. $70,000$ D. $75,000$

## Easy Permutation-Combination Question - 35

 Q35. In a railway compartment, there are $2$ rows of seats facing each other with accommodation for $5$ in each, $4$ wish to sit facing forward and $3$ facing towards the rear while $3$ others are indifferent. In how many ways can the $10$ passengers be seated?
 A. $172,000$ B. $12,600$ C. $45,920$ D. $43,200$
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