A company has 3 directors and 4 managers. How many different committees with 5 people can be chosen having at least 1 director?	Choose the correct choice from the following options:
A) 500 B) 720 C) 4500 D) 25 E) 21
atleast one means exactly one and more than one.   different committees with 5 people can be chosen having at least 1 director is   (3c1*4c4) + (3c2*4c3) + (3c3*4c2) = 21;   Hence 21.
<result>E</result>
A company has 3 directors and 4 managers. How many different committees with 5 people can be chosen having at least 1 director?