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Multinomial Expansion

The number of...

Question

The number of terms in the expansion of $(a + b + c)^{20}$ is

A

231

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B

226

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C

321

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D

326

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Solution

The correct option is A $231$
Given expansion $(a + b + c)^{20}$
The number of terms in the expansion
$=^{n + 3 - 1} C_{3 - 1} =^{20 + 3 - 1} C_{2} =^{22} C_{2} = \frac{22 \times 21}{2} = 11 \times 21 = 231$

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Multinomial Expansion

Standard XIII Mathematics

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