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=(10!)/(3!7!)\cdot(11!)/(3!8!)=(8\cdot9\cdot10)/(2\cdot3)\cdot(9\cdot10\cdot11)/(2\cdot3)=19800`