In how many ways to choose a group of 3 people from 6 couples so that no couple is chosen
Correct answer: D
Explanation
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 = 60
Therefore, total number of ways a couple cannot be chosen = 220-60 = 160
D
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