The number of terms in the expansion of $(x + y + 2 z)^{8}$ is:

45

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46

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48

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50

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Solution

The correct option is A $45$
Given
$(x + y + 2 z)^{8}$
Here the no of terms can be calculated by
$t e r m s = \frac{(n + 1) (n + 2)}{2}$

$t e r m s = \frac{(8 + 1) (8 + 2)}{2}$

$t e r m s = 45$

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