Wed April 14, 2010 By: Nikhil Deshmukh

Permutation and combination

Expert Reply
Wed April 14, 2010

As we can see 8 are unmarried people, and 2 are married to each other, and since the married couple refuses to attend seperately, the total invitations are 9.

If the couple is excluded she has to select 5 people from 8, so 8C5

If the couple is included she has to select 3 people from 8, so 8C3.

Hence the total number of ways = 8C5 + 8C3 = 56 + 56 = 112.




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