SOLUTION: A person has 12 friends of whom 8 are relatives .In how many ways can he invite 7 guests such that 5 of them are relatives? Please kindly give me ur solution.
Thank you
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Question 778532: A person has 12 friends of whom 8 are relatives .In how many ways can he invite 7 guests such that 5 of them are relatives? Please kindly give me ur solution.
Thank you Answer by psbhowmick(878) (Show Source):
No. of ways in which 5 relatives can be invited is 8C5.
No. of ways in which 2 friends can be invited is 4C2.
The ways in which friends can be invited is associated with that in which relatives can be invited.
So total no. of ways in which 7 guests can be invited such that 5 of them are relatives is 8C5 x 4C2 = 56 x 6 = 336.
