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

60

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30

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61

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20

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Solution

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

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