Question

3. The number of terms in the expansion
(2x + 3y + 5z) is
(A) 18
(B) 6
(C) 21
(D) 15​

Answer 1

Answer:

i think your options are wrong ,

Step-by-step explanation:

in this expansion there are 3 terms, 2x,3y,and 5z

Answer 2

The correct question: The number of terms in the expansion of (2x+3y+5z) is

(A) 18

(B) 6

(C) 21

(D) 15​.

The correct answer is option (B). 6.

Given:

The term to be expanded is (2x + 3y + 5z).

To Find:

We have to find out the number of terms in the expansion

(2x + 3y + 5z).

Solution:

The number of dissimilar terms in the expansion of $(x_{1}+x_{2}+x_{3}+....+x_{r} )^n$ is $^{(n+r-1)} C_{n}$.

In (2x + 3y + 5z), we have r = 3 and n = 1.

∴, The number of terms in the expansion of (2x + 3y + 5z) = $^{(1+3-1)} C_{1} = ^{3} C_{1} = 6.$  

Hence the number of terms in the expansion of (2x+3y+5z) is 6.

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