Find the number of terms in the expansion

The expression ( v + w + x + y + z ) 20 (v + w + x + y + z)^{20} contains how many terms ?


The answer is 10626.

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1 solution

Vijay Simha
Aug 3, 2017

The expansion contains every monomial in v,w,x,y and z of degree 20, and there are

C(variables −1 + degree, degree)

C(5–1+20, 20)

or

C(24.20) = 24!/(4!*20!) = 10626 terms

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