Latest exam Aptitude Question SOLUTION: What is the total number of ways in which Dishu can distribute 9 distinct gifts among his 8 distinct girlfriends such that each of them gets at least one gift? A. 72 × 8! B.

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(#M40020731) EXAM question permutation Keep an EYE

What is the total number of ways in which Dishu can distribute 9 distinct gifts among his 8 distinct girlfriends such that each of them gets at least one gift?

A.

72 × 8!

B.

144 × 8!

C.

36 × 8!

D.

9!

Asked In exam MAN (11 years ago)

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siddharth prakash singh  (9 years ago)

one among 8 gfs will get 2 gifts and remaining 7 will get one. so total of 9 gifts will be distributed among 8 gfs.
i.e; 11111112.
Gf who will get 2 gifts can be find out in 8c1 ways=8 ways.
now now 2 gifts can be given to selected gf in 9c2 ways. and remaining 7 gifts can be given to remaining 7 gf in 7! ways.
so total no of ways= 8*9c2*7!
=8*(9*8)/2*7!
=36*8*7!
=36*8!

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