Home » Ask & Discuss » Mathematics. » Algebra « Back to Discussion



Algebra

New kid on the Block

Joined: 2 Nov 2011
Post: 2
2 Nov 2011 23:51:26 IST
0 People liked this
1
572 View Post
Permutations and combination problem.. urgent
Mathematics

 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.


Share this article on:

Comments (1)

Arjun Virmani's Avatar

Forum Expert
Joined: 1 Jun 2009
Posts: 1294
3 Feb 2012 01:14:55 IST
0 people liked this

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........... = km = k N/L

ans!!!




Quick Reply


Reply

Some HTML allowed.
Keep your comments above the belt or risk having them deleted.
Signup for a avatar to have your pictures show up by your comment
If Members see a thread that violates the Posting Rules, bring it to the attention of the Moderator Team
Free Sign Up!

Preparing for IIT-JEE ?

Arihant Revision Package for IIT JEE - Books, Practice Tests + Rank Predictor


@ INR 1,995/-

For Quick Info

Name

Mobile No.

Find Posts by Topics

Physics.

Topics

Mathematics.

Chemistry.

Biology

Parents

Board

Fun Zone

Sponsored Ads