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Question

Find the coefficient of a2b3c4d in the expansion of (abc+d)10 be k. Find sum of digits of |k|?

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Solution

(abc+d)10
Coefficient of (a)r1×(b)r2×(c)r3×(d)r4 is
10!r1!.r2!.r3!.r4!1r1(1)r2(1)r3(1)r4
=10!(1)3(1)42!×3!×4!×1!=12600

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