Question

Find the number of ways of selecting $4$ boys and $3$ girls from a group of $8$ boys and $5$ girls

Answer 1

We can select $4$ boys from $8$ boys in ${{}^{8}C}_4=70$ ways

We can select $3$ girls from $5$ girls in ${{}^{5}C}_3=10$ ways

Both can be selected simultaneously in $70\times 10=700$ ways