In how many ways to choose a group of 3 people from 6 couples so that no couple is chosen  Choose the correct choice from the following choices:  A) 60  B) 120  C) 140  D) 160  E) 180
Number of ways 3 people can be chosen from 12 = 12C3 = 220   Number of ways a couple can be chosen = 6   Number of ways the third person can be chosen = 10C1 = 10   Hence, total number of ways a couple with another person can be chosen = 6*10= 
<gadget id="calculator">6*10</gadget>
<output>60</output>
60   Therefore, total number of ways a couple cannot be chosen= 220-60= 
<gadget id="calculator">220-60</gadget>
<output>160</output>
160   ANSWER:160
<result>D</result>
In how many ways to choose a group of 3 people from 6 couples so that no couple is chosen