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The coefficient of $a^{8} b^{4} c^{9} d^{9} in (abc + abd + acd + bcd)^{10}$ is

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10!

10!8!4!9!9!

2520

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detailed solution

Correct option is C

a10b10c10d101a+1b+1c+1d10Therefore, the required coefficient is equal to the coefficient of a−2b−6c−1d−1 in 1a+1b+1c+1d10, which is given by 10!2!6!1!1!=10×9×8×72=2520

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The coefficient of a8b4c9d9 in (abc+abd+acd+bcd)10 is

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The coefficient of $a^{8} b^{4} c^{9} d^{9} in (abc + abd + acd + bcd)^{10}$ is