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  4. Assertion (A): Number of terms in the expansion of (x + y + z)5 is 21. Reason (R): The number of terms in the expansion of (x + y + z)n is (n+2)C2

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Q. Assertion (A): Number of terms in the expansion of $(x + y + z)^5$ is 21.
Reason (R) : The number of terms in the expansion of $(x + y + z)^n$ is $^{(n+2)}C_2$

Binomial Theorem

Solution:

Use the formula $^{n + r - 1}c_{r-1}$