Question

Ih how many ways can 5 boys and 4 girls be arranged on a bench if there are no restrictions

Answer 1

Given:

Number of boys = 5

Number of girls = 4

To find:

The number of ways in which 5 boys and 4 girls be arranged on a bench if there are no restrictions.

Solution:

We have, 5 boys and 4 girls.

Total number of boys and girls:

`5+4=9`

If there are no restrictions, then the total number of ways to arrange 9 persons is:

`^9P_9=(9!)/((9-9)!)`

`^9P_9=(9!)/(0!)`

`^9P_9=(9* 8* 7* 6* 5* 4* 3* 2* 1)/(1)`

`^9P_9=362880`

Therefore, the total number of ways to arrange 5 boys and 4 girls is 9! or 362880.