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Maths-

General

Easy

Question

If coefficient of $x squared y cubed z to the power of 4$ in $left parenthesis x plus y plus z right parenthesis to the power of n$ is, $A$ then coefficient of $x to the power of 4 y to the power of 4 z$ is

$2 A$
$\frac{n A}{2}$
$\frac{A}{2}$
$A$

The correct answer is: $fraction numerator A over denominator 2 end fraction$

Given coeff $x to the power of 2 end exponent y to the power of 3 end exponent z to the power of 4 end exponent$ in $left parenthesis x plus y plus z right parenthesis to the power of n end exponent$ is A & $A equals fraction numerator 9 factorial over denominator 2 factorial 3 factorial 4 factorial end fraction equals 1260$
$rightwards double arrow n equals 9$
Coeff $x to the power of 4 end exponent y to the power of 4 end exponent z to the power of 1 end exponent$ is $fraction numerator 9 factorial over denominator 4 factorial 4 factorial 1 factorial end fraction equals 630 equals fraction numerator A over denominator 2 end fraction$

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