A panel of judges is 2 women & 5 men. List of judges includes 3 women & 7 men. How many panels can be created?

Question

A panel of judges is 2 women & 5 men. List of judges includes 3 women & 7 men. How many panels can be created?

Answer 1

If you have n objects and chose r of them, the number of combinations is:

n! / ( r! (n-r)! )

this can be written as nCr

there are 3C2 = 3 combinations of female judges

there are 7C5 = 21 combinations of male judges

there are a total of 3 * 21 = 63 combinations for different panels.