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Question

In the polynomial (x1)(x2)(x3)...(x100), the coefficient of x99 is .

A
5050
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B
5050
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C
100
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D
99
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Solution

The correct option is B 5050

Given polynomial, (x1)(x2)(x3)...(x100)

Number of terms =100

Coefficient of x99 in (x1)(x2)(x3)...(x100)

=(123..........100)=(1+2+.........+100)

=100×1012=5050


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