Question

Incorrect, 4.3.37

In how many ways can a committee of four

men and three

women be formed from a group of ten

men and six

​women?

Answer 1

2 with a remainder of one man

Answer 2

The number of ways is given directly using the formula:

`C_(10)^4* C_6^3\\\text{wherein }C_n^k=(n!)/(k!(n-k)!).\text{ Using the formula we get:}\\C_(10)^4* C_6^3=(10!)/(4!(10-4)!)(6!)/(3!(6-3)!)\\=4200`
(Use a calculator in order to reach the above result.)
So tête number of ways is 4200.