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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
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B
185
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C
192
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D
360
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Solution

The correct option is D 360
Here, 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+31C31=9C2=36
Number of non negative integral solutions of d+e=9
=9+21C21=10C1=10
required solution =36×10=360

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