Question

There are $8$ men and $10$ women and you need to form a committee of $5$ men and $6$ women. In how many ways can the committee be formed?

• A. $10420$
• B. $11420$
• C. $11760$
• D. None of these

Answer 1

The correct option is C $11760$

Out of $8$ men and $10$ women . The committee has to select $5$ men and $6$ women.

${}^8{C}_5{\times }^{10}{C}_6=11760$