In how many ways can a team of 3 boys and 3 girls be selected from 5 boys and 4 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)`
Therefore, number of total teams `= .^(5)C_(3) xx .^(4)C_(3)`
`= (5 xx 4 xx 3)/(3 xx 2 xx 1) xx (4 xx 3 xx 2)/(3 xx 2 xx 1)`
`= 10 xx 4 xx 40`