Question

How many non-negative integral solutions of (x, y, z) are there for the equation x + y + z = 15?

Answer 1

what do u think??

Answer 2

question is almost same but constraints are different i.e. X , Y, Z > 0

Or we can write X>= 1, Y>=1, Z >= 1

Again the question is analogous to distributing 8 identical coins to three beggars

But here the condition is every beggar should have atleast 1 coin so we will distribute 1 coin to each beggar in advance.

So giving 1 coin to each beggar means we donated 3 coins. Thus we are left with 5 coins which we have to distribute among 3 beggars which can be done in

Answer 3

well it will give u a good idea

Answer 4

familiar with stars and bars ?

Answer 5

Thanks gorv!