Question

How many interview panel of six members can be chosen from 11 men and 7 women such that each panel contains at least 4 men?

Answer 1

Answer:

I will write combination notation like this: (n,r) where n is number of objects to be selected to fill in r slots

At least four men is also equivalent of saying less than four men in the panel is not permitted. Therefore, I can subtract the number of ways of selecting less than four men from the total ways I can select :

$(18,6)-(7,6)-(7,5)\cdot(11,1)-(7,4)\cdot(11,2)-(7,3)\cdot(11,3)= 10626$ ways

Hope this helps :)

Step-by-step explanation: