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Joined:	2 Nov 2011
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2 Nov 2011 23:51:26 IST

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Permutations and combination problem.. urgent

Engineering Entrance , JEE Main , JEE Main & Advanced , Mathematics , Algebra

The chef got a new rabbit and he is going to train him so that he can perform for him whenever he needs entertainment. The chef teaches k types of jumps to the rabbit. Each jump has definite length L units. The rabbit does not have any brains he will use any type of jump he feels like at any point of time. He is placed on a very long mat and starts at 0 unit. The chef wants to know in how many ways he can perform his jumps and cover exactly N units of distance.

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Arjun Virmani

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Joined: 1 Jun 2009

Posts: 1330

3 Feb 2012 01:14:55 IST

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If the rabbit jumps exactly L units then N has to be a multiple of L..........

let us say L*m = N.......

then for every jump the rabbit has k types.........

and he has to jump m times to cover N units!!

thrfr, he has k choices for 1st jump, k choices for 2nd jump and so on (upto m times).. k * k * k * k * k........... = k^m = k^N/L

ans!!!

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