( \frac{(2n)!}{(2n-4)!} ) का सही विस्तार कौन सा है?

Which is the correct expansion of ( \frac{(2n)!}{(2n-4)!} )?

Explanation opens after your attempt
Correct Answer

B. ((2n)(2n-1)(2n-2)(2n-3))

Step 1

Concept

We expand ((2n)!) up to ((2n)(2n-1)(2n-2)(2n-3)(2n-4)!). Therefore four factors remain.

Step 2

Why this answer is correct

The correct answer is B. ((2n)(2n-1)(2n-2)(2n-3)). We expand ((2n)!) up to ((2n)(2n-1)(2n-2)(2n-3)(2n-4)!). Therefore four factors remain.

Step 3

Exam Tip

((2n)!) को ((2n)(2n-1)(2n-2)(2n-3)(2n-4)!) तक फैलाते हैं। इसलिए चार गुणक बचते हैं।

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Mathematics Answer, Explanation and Revision Hints

( \frac{(2n)!}{(2n-4)!} ) का सही विस्तार कौन सा है? / Which is the correct expansion of ( \frac{(2n)!}{(2n-4)!} )?

Correct Answer: B. ((2n)(2n-1)(2n-2)(2n-3)). Explanation: ((2n)!) को ((2n)(2n-1)(2n-2)(2n-3)(2n-4)!) तक फैलाते हैं। इसलिए चार गुणक बचते हैं। / We expand ((2n)!) up to ((2n)(2n-1)(2n-2)(2n-3)(2n-4)!). Therefore four factors remain.

Which concept should I revise for this Mathematics MCQ?

We expand ((2n)!) up to ((2n)(2n-1)(2n-2)(2n-3)(2n-4)!). Therefore four factors remain.

What exam hint can help solve this Mathematics question?

((2n)!) को ((2n)(2n-1)(2n-2)(2n-3)(2n-4)!) तक फैलाते हैं। इसलिए चार गुणक बचते हैं।