If ^20C_1 + (2^2) ^20C_2 + (3^2) ^20C_3 + … + (20^2) ^20C_20 = A(2^β), then the ordered pair (A, β) is equal to

If ^20C_1 + (2^2) ^20C_2 + (3^2) ^20C_3 + … + (20^2)… — JEE Main 2019 Mathematics PYQ

JEE Main 2019 · 12 Apr · Shift II

^{20}C_1 + (2^2)\,^{20}C_2 + (3^2)\,^{20}C_3 + \ldots + (20^2)\,^{20}C_{20} = A(2^\beta)

, then the ordered pair

(A, \beta)

is equal to

Show answer

Correct option: B

[JEE Main 2019 · 12 Apr · Shift II]

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