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Question

The value of (300)(3010) - (301)(3011)

+ (302) (3012) + ..............+ (3020) (3030)


A

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B

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C

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D

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Solution

The correct option is B


(1x)30 = 30C0x0 - 30C1x1 + 30C2x2

+ .............+ (1)30 30C30x30 .............(i)

(x+1)30 = 30C0x30 - 30C1x29 + 30C2x28

+ .............+ 30C10x20 + ..........+ 30C30x0 ............(ii)

Multiplying (i) and (ii) and equating the

coefficient of x20 on both sides, we get required

sum = coefficient of x20 in (1x2)30 = 30C10.


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