If .^(20)C(1)+(2^(2)) .^(20)C(2) + (3^(2...

If `.^(20)C_(1)+(2^(2)) .^(20)C_(2) + (3^(2)).^(20)C_(3) +......+(20^(2)).^(20)C_(20)=A(2^(beta))` , then the ordered pair `(A, beta)` is equal to

A

(380, 18)

B

(380, 19)

C

420, 19

D

(420, 18)

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The correct Answer is:

D

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