Question

In how many ways a commitee of six members be formed from 7 men and 5 women if the commitee contains 4 men and 2 women?

• A. $7C_4+5C2$
• B. $7C_6+5C2$
• C. $7C4\times 5C2$
• D. $7C4\times 5C5$

Answer 1

The correct option is C $7C4\times 5C2$

Total men-7
Total women-5
Selecting 4 men from 7 men-$7C4$
Selecting 2 women from 5 women-$5C2$
Selecting 4 men and two women-$7C4\times 5C2$
option (c) is correct