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Pascal Triangle

If 18C2r= 18C...

Question

If $^{18} C_{2 r} =^{18} C_{r + 3}$ , then the value of $r$ is/are

2

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3

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4

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5

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Solution

The correct option is D $5$
Given $^{18} C_{2 r} =^{18} C_{r + 3}$
Now, we know that
$2 r = r + 3 or 2 r + r + 3 = 18 \Rightarrow r = 3, 5$

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