Brothers

Probability Level 3

9 different things are to be divided among 4 brothers. So that the youngest get one more then the other three.Find the number of ways for which this condition is possible.

3360 1260 5560 7560

Raj Rajput by RAJ RAJPUT , 25, India

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2 solutions

Raj Rajput
Feb 1, 2016

7 Helpful 0 Interesting 0 Brilliant 0 Confused
Harsh Khatri
Feb 15, 2016

The 3 elder brothers get 2 things each and the youngest gets 3 things. These 9 different things can be distributed as follows:

( 9 2 ) × ( 7 2 ) × ( 5 2 ) × ( 3 3 ) = 7560 \displaystyle {9\choose 2} \times {7\choose 2}\times {5\choose 2}\times {3\choose 3} = \boxed {7560}

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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