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Question

The value of 30C030C10 - 30C130C11 + 30C230C12 - .......... + 30C2030C30 is


A

60C30

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B

40C30

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C

60C20

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D

30C10

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Solution

The correct option is D

30C10


Difference of suffices is same = 10 and terms are alternately positive and negative

we take expansion of (1x)30and(x+1)30 ,

multiply and equate cofficient of x20 on both sides.

(1x)30(x+1)30=(1x2)30

coff of x20=30C10


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