Question

# The number of non negative integral solutions for the equations a+b+c+d+e=16 and a+b+c=7 is

A
36
B
185
C
192
D
360

Solution

## The correct option is D 360Here, a+b+c+d+e=16 and a+b+c=7 ∴d+e=9 Number of non negative integral solutions of a+b+c=7 =7+3−1C3−1=9C2=36 Number of non negative integral solutions of d+e=9 =9+2−1C2−1=10C1=10 ∴ required solution =36×10=360Mathematics

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