In the expansion of x-1x-2 - - -x-18-the coefficient of x17 isA- 684B- -171C- 171D- -342

The correct option is B 171the coefficient of x^17 nbsp; is nbsp; (1+2+3+.....+18)= 18×192= 171 ...

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Standard XI

Mathematics

Sum of binomial coefficients with alternate signs

In the expans...

Question

In the expansion of $(x - 1) (x - 2) . . . . . (x - 18)$ ,the coefficient of $x^{17}$ is

684

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- 171

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171

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- 342

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Solution

The correct option is B $- 171$
the coefficient of $x^{17}$ is
$- (1 + 2 + 3 + . . . . . + 18) = - \frac{18 \times 19}{2} = - 171$

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In the expansion of (x−1)(x−2).....(x−18),the coefficient of x17 is

The correct option is B −171the coefficient of x17 is −(1+2+3+.....+18)=−18×192=−171

In the expansion of $(x - 1) (x - 2) . . . . . (x - 18)$ ,the coefficient of $x^{17}$ is

The correct option is B $- 171$
the coefficient of $x^{17}$ is
$- (1 + 2 + 3 + . . . . . + 18) = - \frac{18 \times 19}{2} = - 171$