How many teams of 3 boys and 3 girls can be selected from 5 boys and 4 girld?

Explanation

No of ways of selecting 3 boys out of 5 given boys `= .^(5)C_(3)`
No of ways of selecting 3 girls out of 4 given girls `=.^(4)C_(3)`.
`:.` Total number of 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 2xx1)`
`= 10 xx 4 = 40`.