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Expansion of (a ± b ± c)²

The coefficie...

Question

The coefficient of $x^{3}$ in the product $(x - 1) (x - 2) (x - 3)$ is

1

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2

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3

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4

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Solution

The correct option is A $1$
We have, $(x - 1) (x - 2) (x - 3)$

$= (x^{2} - 3 x + 2) (x - 3)$

$= x^{3} - 6 x^{2} + 11 x - 6$

So the coefficient of $x^{3}$ is $1$

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