How many different panels could be created from this list?

Question

A panel of judges is to consist of six women and five men. A list of potential judges includes seven women and seven men. How many different panels could be created from this list?

Please help, Thank you!

Answer 1

Choose the men in 7C5 ways

Choose the women in 7C6 ways.

# of ways to constitute the panel in this exact way will be the product of the above two numbers.