Practice Questions on Permutation-Combination
Aptitude 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

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Easy Permutation-Combination Question - 32

Q32.

How many diagonals can be drawn in a pentagon?

A.

5

B.

7

C.

8

D.

10

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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

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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.

$75,000$

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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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