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Q.

The coefficient of a6b2c8d8 in (abc+abd+acd+bcd)10 is

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a

10!4!8!

b

1516

c

38

d

10!8!(4!)3

answer is B.

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Detailed Solution

(abc+abd+acd+bcd)10=a10b10c10d101a+1b+1c+1d10 The required coefficient is equal to the coefficient of a−4b−8c−2d−2in1a+1b+1c+1d10 is 10!4!8!2!2!=1516
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The coefficient of a6b2c8d8 in (abc+abd+acd+bcd)10 is