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Evaluate the expression 2ⁿ × [1· 3· 5⋯ (2n-3)(2n-1)].

1. (2n)!/n!
2. (2n)!/2ⁿ
3. n!/(2n)!
4. None of these

Correct answer: (2n)!/n!

Solution

The expression represents the product of the first n odd numbers multiplied by 2 raised to the power of n, which simplifies to the factorial of 2n divided by the factorial of n, thus confirming that the correct option is (2n)!/n!.

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