∑k=0²⁰ ²⁰Ck · ²⁰C₂₀₋k is equal to... | Binomial Theorem

JEE MAIN 2021

27-08-2021 S1

Question

$\sum_{\mathrm{k}=0}^{20}{ }^{20} \mathrm{C}_{\mathrm{k}} \cdot{ }^{20} \mathrm{C}_{20-\mathrm{k}}$ is equal to :

Select the correct option:

${ }^{40} \mathrm{C}_{21}$

${ }^{40} \mathrm{C}_{19}$

${ }^{40} \mathrm{C}_{20}$

${ }^{41} \mathrm{C}_{20}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

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