Question

from a group of 4 women and 5 men how many different committees consisting of 2 women and 3 men can be formed

Answer 1

Answer:

60 different committees can be formed

Step-by-step explanation:

use permutation and combination to solve the question

= $^{4} C_{2}$ × $^{5}C_{3}$

$=\frac{4!}{(4-2)!2!}$ × $\frac{5!}{(5-3)!3!}$

$=\frac{4!}{2!2!}$ × $\frac{5!}{2!3!}$

$=\frac{24}{4}$ × $\frac{120}{12}$

= 6 × 10

=60