Question

The coefficient of a^4b^3c^2d in the expansion of [a+b+c+d]^10 is

Answer 1

Step-by-step explanation:

Divide by abcd inside the bracket to get to a simplification

(abcd)10(a−1+b−1+c−1+d−1)10

Thus you need to search for powers 2,6,1,1 of a−1,b−1,c−1,d−1 respectively to get the original expression.

The answer is given by multinomial theorem is :

10!2!6!1!1!

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