non integral soln

infinite..

unless u say that all are positive...or non negetive.. or something else..

this is an old trick sankara..

If the question was

x1+x2+x3+...xk=n

then the number of non negative solutions is given by

^(n+k-1)C_k

Can u try to find the proof... else i will do it for u...

okie.. gr8 :)

see the proof is this...

there are n numbers of balls...

And you have to divide them into k parts..

so u have to put k-1 dividers (seperators) between these n balls...

So there are k-1 objects of 1 kind and n objects of another

Hence u have to arrange n+k-1 objects

of which k-1 are identical :)

done :)

Rules of Studying Probability Combination and Probability..

Rule 1: Dont learn Anything

Rule 2: Dont forget Rule 1

nandri i guessed :)

tx :)