A company has 3 directors and 5 managers. How many different committees with 4 people can be chosen having at least 1 director?
Choose the correct choice from the following choices.
A) 500	B) 720	C) 4500	D) 25	E) 65
atleast one means exactly one and more than one.   different committees with 5 people can be chosen having at least 1 director is   (3c1*5c3) + (3c2*5c2) + (3c3*5c1) = 65;   Hence 65.
<result>E</result>
A company has 3 directors and 5 managers. How many different committees with 4 people can be chosen having at least 1 director?