Question

From the 10 male and 11 females sales Representatives for an insurance company, a team of 3 and a team of 3 women will be selected to attend a National conference on fraud. How many ways can the team of 6 be selected

Answer 1

$10C3\cdot 11C3=\dfrac{10!}{3!7!}\cdot\dfrac{11!}{3!8!}=\dfrac{8\cdot9\cdot10}{2\cdot3}\cdot\dfrac{9\cdot10\cdot11}{2\cdot3}=19800$