Question

In how many different ways a group of 4 men and 4 women be formed out of 7 men and 8 women?

• A. 2450
• B. 105
• C. 1170
• D. Cannot be determined
• E. None of these

Answer 1

The correct option is A 2450

4 men out of 7 men and 4 women out of 8 women can be chosen in ${}^7{C}_4\times {}^8{C}_4$ ways,
Required number of ways
$=\frac{7\times 6\times 5\times 4!}{4!\times 3\times 2\times 1}\times \frac{8\times 7\times 6\times 5\times 4!}{4!\times 4!}=35\times 70=2450$