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

Options

A. `20`
B. `25`
C. `30`
D. `36`

Answer

B

Explanation

`(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`