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

User Bobwah
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1 Answer

4 votes

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.

User Febin K R
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