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In the expansion of (1+x)^{n}.(1+y)^{n}.(1+{z})^{n} the sum of

Question

In the expansion of $(1 + x)^{n} . (1 + y)^{n} . (1 + z)^{n}$ the sum of the coefficients of the terms of degree $r$ is

(^{n} C_{r})^{3}

^{3 n} C_{r}

3 \times n C_{r}

n C_{3 r}

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Emily Discussed

In the expansion of

(1 + x)^{n} . (1 + y)^{n} . (1 + z)^{n}

the sum of the coefficients of the terms of degree

r

9 mins ago

Discuss this question LIVE

9 mins ago

Text solutionVerified

The given expression contains

3 n

factors
Using combination to choose

r

brackets out of

3 n

brackets for a term of degree

r

, we get

^{3 n} C_{r}

Hence, answer is option B

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Question Text	In the expansion of $(1 + x)^{n} . (1 + y)^{n} . (1 + z)^{n}$ the sum of the coefficients of the terms of degree $r$ is
Answer Type	Text solution:1
Upvotes	150