In how many ways can 3 boys and 3 girls can be selected from 5 boys and 3 girls?

Explanation

No. of ways of selecting 3 boys out of 5 boys `= .^(5)C_(3)`
No. of ways of selecting 3 girls out of 4 girls `= .^(4)C_(3)`
From the principle of multiplication,
No. of ways of selecting 3 boys and 3 girls
`= .^(5)C_(3) xx .^(4)C_(3) = (5!)/(3!.2!). (4!)/(3!.1!)`
`10 xx 4 = 40`.