A group of 10 people consists of 3 married couples and 4 single men. A committee of 4 is to be formed from the 10 people. How many different committees can be formed if the committee can consist of at most 1 married couple? Select
A) 105	B) 207	C) 210	D) 540	E) 5,040
Total number of possibilities of selecting 4 people out of 10 without any restrictions = 10C4 = 10!/(4!*6!)   = (10*9*8*7)/4*3*2*1   = 10*3*7= 
<gadget id="calculator">10*3*7</gadget>
<output>210</output>
210   Number of possibilities of selecting 2 married couples= 3C2 = 3!/2! = 3   Number of different committees with atmost 1 married couple that can be formed = 210 - 3= 
<gadget id="calculator">210 - 3</gadget>
<output>207</output>
207   Answer 207
<result>B</result>
A group of 10 people consists of 3 married couples and 4 single men. A committee of 4 is to be formed from the 10 people. How many different committees can be formed if the committee can consist of at most 1 married couple?