How many different committees of 5 can be formed from 8 men and 7 women such that there are at least 2 women in the committee

Question

How many different committees of 5 can be formed from 8 men and 7 women so as to include at least 2 women?

SA-255525 · Accepted Answer · 2014-05-20T10:34:57.987

1

Number of committees of $5$ where at least $2$ women are included

$$\sum_{x=2}^{5}{7 \choose x}\cdot{8 \choose 5-x}$$

edited May 20 '14 at 10:34

answered May 20 '14 at 10:25

SA-255525

This might not be the answer OP needs, but it is the answer he deserves. – Arthur May 20 '14 at 10:30

1 Answers1