A company has 3 directors and 5 managers. How many different committees with 5 people can be chosen having at least one director?
a) 25
b)55
c) 500
d)720
e) 4500
a) 25
b)55
c) 500
d)720
e) 4500
bobdylan wrote:A company has 3 directors and 5 managers. How many different committees with 5 people can be chosen having at least one director?
a) 25
b)55
c) 500
d)720
e) 4500
No. of ways in which a committee of 5 can be selected from 8 people = 8C5 = 8*7*6/3*2*1 = 56---(1)
No. of ways in which a committee of 5 can be selected with no manager = 5C5 = 1---(2)
Therefore, No. of ways in which a committee of 5 can be selected with at least 1 manager = (1)-(2) = 55
IMO: B
