Let β(m, n) = _0^1x^ m-1 (1 - x)^ n-1 dx, m, n 0. If _0^1(1 - x^ 10 )^ 20 dx = a (b, c), then 100(a + b +...

Question

Let β(m, n) = _0^1x^ m-1 (1 - x)^ n-1 dx, m, n > 0. If _0^1(1 - x^ 10 )^ 20 dx = a (b, c), then 100(a + b + c) equals _______.

Accepted Answer

(D)

JEE Main 2024 Mathematics question