How many different committees can be formed from a group of two women and four men if three people are on the committee and at least one member must be a woman?  Choose the correct choice from the following answers:
A) 6
B) 8
C) 10
D) 12
E) 16
2 Women and 4 Men. Three people needed   It is always better to subtract the total from none in case of at least one problems.   Total ways = 6C3 = 20   Total ways without any women = 4C3 = 4   Hence ways in which at least one women will be present = 20 - 4= 
<gadget id="calculator">20 - 4</gadget>
<output>16</output>
16   Correct option: 16
<result>E</result>
How many different committees can be formed from a group of two women and four men if three people are on the committee and at least one member must be a woman?