## Quant Question Of The Day: 73

# 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’: **

Quant Question Of The Day: 72

Quant Question Of The Day: 71

Option A-406

Sir can you please explain the last step , shouldn’t it be 32c2

how did you eliminate the cases with zeroes ?

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

496