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Question
There are 7 couples in a dance party. How many dance pairs can be there such that exactly 2 pairs are the original couples?
Options:
A .  765
B .  924
C .  1222
D .  904
E .  none of these
Answer: Option B
:
B
Number of ways of selecting 2 couples out of 7=7C2
Derangement of 5 couples can be done in 44 ways.
Total number of ways = 924

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