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Binomial Theorem question

2022 · 29 Jun · Shift 2 · Q40

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JEE Main
Mathematics
Binomial Theorem
2022 · 29 Jun · Shift 2 · Q40

Binomial Theorem question

2022 · 29 Jun · Shift 2 · Q40

JEE MainMathematicsBinomial TheoremNumerical+4 / −1

Let the coefficients of x

-

1 and x

-

3 in the expansion of

{\left( {2{x^{{1 \over 5}}} - {1 \over {{x^{{1 \over 5}}}}}} \right)^{15}},x \gt 0

, be m and n respectively. If r is a positive integer such that

m{n^2} = {}^{15}{C_r}\,.\,{2^r}

, then the value of r is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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