In a group of 16 candidates for for laboratory research posi

In a group of 16 candidates for for laboratory research positions, 7 are chemists and 9 are physicians. In how many ways one can choose 2 chemists and 3 physicians?

Show step by step please, thank you

Solution

You can choose 2 chemists in 7C2 = 21 ways.

You can choose 3 physicians in 9C3 = 84 ways.

Thus, there\'s a total of 21*84 = 1764 ways. [ANSWER]