Question:
The sum
\[
\sum_{k=0}^5 \left( 5C_k \right)^2
\]
is equal to
The sum
\[
\sum_{k=0}^5 \left( 5C_k \right)^2
\]
is equal to
Show Hint
When calculating combinations and factorials, simplify expressions using combinatorial identities to reduce the complexity.
Updated On: Apr 1, 2025
- \( 25C5 \)
- \( 15C5 \)
- \( 10C5 \)
- 1
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The Correct Option is C
Solution and Explanation
By simplifying the summation, we arrive at the result \( 10C5 \) as the correct value of the sum.
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