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The number of ways can five people be di...

The number of ways can five people be divided into three groups is

A

`20`

B

`25`

C

`30`

D

`36`

Text Solution

Verified by Experts

The correct Answer is:
B
`(b)` Five people can be divided into three groups in `(1,1,3)` or `(1,2,2)` ways
Hence, total number of ways
`=(5!)/(3!(1!)^(2))xx(1)/(2!)+(5!)/((2!)^(2)1!)xx(1)/(2!)`
`=10+15=25`
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