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Binomial Theorem: JEE Mains 2022 June 29 Shift 2

Medium· General and middle terms· +4 / 0

Let the coefficients of

x^{-1}

and

x^{-3}

in the expansion of

\left(2x^{\frac15}-\dfrac{1}{x^{\frac15}}\right)^{15}

,

x>0

, be

m

and

n

respectively. If

r

is a positive integer such that

mn^2={}^{15}C_r\cdot2^r

, then the value of

r

is equal to ______.

Your answer (numerical)

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