# Counting

Find the number of  positive integral solution of the equation 12x + 28y + 84z = 2520.

A. 406
B. 604
C. 496
D. None of these

### See our previous ‘Questions of the Day’:

1. Sir can you please explain the last step , shouldn’t it be 32c2
how did you eliminate the cases with zeroes ?

2. Parth ,if you have done P&C class, probably you might understand what I say.So as to avoid solution with zeroes give ,1 each to k,n and z.Thus k+n+z becomes 27.applyiny the partition rule,27 has to be distributed among 3 people,so 2 partitions-hence,29C2

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