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

$3$

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$4$

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$5$

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$8$

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Solution

The correct option is A
$3$

Given: ${}^{15}C_{3 r} = {}^{15}C_{r + 3}$
We know that, If ${}^{n}C_{a} = {}^{n}C_{b}$ Then $a + b = n or a = b$
$\Rightarrow$ $3 r + r + 3 = 15$
$\Rightarrow$ $r = 3$
Hence, correct answer is option $(A)$ .

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If $^{15} C_{3 r} =^{15} C_{r + 3},$ find r.

If $^{15} C_{3 r} =^{15} C_{r + 3},$ then r is equal to

^{15} C_{3 r} =^{15} C_{r + 3}

^{15} C_{3 r} =^{15} C_{r + 3}

r

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