Single Choice

The number of dissimilar terms in the expansion of $$(1-3x+3x^2-x^3)^{20}$$ is:

A$$60$$
B$$30$$
C$$61$$
Correct Answer
D$$20$$

Solution

$$(1-3x+3x^2-x^3)^{20}=[(1-x)^3]^{20}=(1-x)^{60}$$
Therefore number of dissimilar terms in the expansion of $$(1-3x+3x^2-x^3)^{20}$$ is $$61$$.

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