In how many ways can a team of 3 boys and 3 girls be selected from 5 boys and 4 girls?

Explanation

3 boys can be selected from 5 boys in ` ^5 C_3` ways and 3 girls can be selected from 4 girls in ` ^4 C_3` ways.

`therefore` A team of 3 boys and 3 girls can be selected in ` ^5 dotC_3 xx ^4 C_3` ways `=5 !/2 ! 3 ! xx 4 !/3 ! 1 !=40`