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Q.

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

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a

10!

b

10!8!4!9!9!

c

2520

d

none of these

answer is C.

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Detailed Solution

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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