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\(\sum_{k=0}^{20}\left({ }^{20} C_k\right)^2\) is equal to. [JEE Main 2021, 27 Aug (Shift 1)]

Q1

\(\sum_{k=0}^{20}\left({ }^{20} C_k\right)^2\) is equal to.

[JEE Main 2021, 27 Aug (Shift 1)]

a

\({ }^{40} C _{21}\)

b

\({ }^{40} C _{20}\)

c

\({ }^{41} C _{20}\)

d

\({ }^{40} C _{19}\)

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