How many different committees can be formed from a group of four women and eight men if three people are on the committee and at least one member must be a man?	Choose the correct choice from the following:
A) 215
B) 220
C) 225
D) 216
E) 210
4 Women and 8 Men. Three people needed   It is always better to subtract the total from none in case of at least one problems.   Total ways = 12C3 = 220   Total ways without any men = 4C3 = 4   Hence ways in which at least one man will be present = 220 - 4= 
<gadget id="calculator">220 - 4</gadget>
<output>216</output>
216   Correct option: 216
<result>D</result>
How many different committees can be formed from a group of four women and eight men if three people are on the committee and at least one member must be a man?