If 15 C 3 r = 15 C r + 3 , then the value of r is, 3, 4, 5, 8

If 15 C 3 r = 15 C r + 3 , then the value of r is

Question: Answered & Verified by Expert

If ${ }^{15} C_{3 r}={ }^{15} C_{r+3}$, then the value of $r$ is

MathematicsPermutation CombinationJEE Main

Options:

Solution:

1115 Upvotes Verified Answer

The correct answer is: $3$

$15=3 r+r+3$
Hence, $r=3$

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