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A man has 3 friends. If  is number of ways he can invite one friend everyday for dinner on 6 successive nights so that no friend is invited more than 3 times then the value of   is



Question ID - 153643 | SaraNextGen Top Answer

A man has 3 friends. If  is number of ways he can invite one friend everyday for dinner on 6 successive nights so that no friend is invited more than 3 times then the value of   is

1 Answer
127 votes
Answer Key / Explanation : (3) -

(3)

1. He can invite 2 friends three times each

Lets select first those 2 friends in  ways

Now these two friends each three time can be invited on 6 days in

Thus total number of ways 2 friends can be invited three times

2. Another possibility is that he invites all three friends 2 times each

Then number of ways

3. One more possibility is that he invites one friend three times, one two times and one three times

Then number of ways

Hence total number of ways

127 votes


127