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Pascal Triangle

If 18 C 2 r =...

Question

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

A

2

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B

3

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C

4

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D

5

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Solution

The correct options are
B $3$
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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Pascal Triangle

Standard XII Mathematics

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