Class 11 Mathematics Permutations and Combinations Derivations of formulas and their connections Hard Level 64

शब्द (LEVEL) के distinct arrangements निकालते समय सूत्र \(\frac{5!}{2!}\) क्यों आता है?

While finding distinct arrangements of the word (LEVEL), why does the formula \(\frac{5!}{2!}\) appear?

Explanation opens after your attempt
Correct Answer

B. क्योंकि (E) दो बार आया हैBecause (E) appears twice

Step 1

Concept

Interchanging identical (E)'s does not give a new arrangement. In exams divide by factorials of repeated identical items.

Step 2

Why this answer is correct

The correct answer is B. क्योंकि (E) दो बार आया है / Because (E) appears twice. Interchanging identical (E)'s does not give a new arrangement. In exams divide by factorials of repeated identical items.

Step 3

Exam Tip

समान (E) की आपसी अदला-बदली नई arrangement नहीं देती। परीक्षा में repeated identical items के factorial से divide करें।

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शब्द (LEVEL) के distinct arrangements निकालते समय सूत्र \(\frac{5!}{2!}\) क्यों आता है? / While finding distinct arrangements of the word (LEVEL), why does the formula \(\frac{5!}{2!}\) appear?

Correct Answer: B. क्योंकि (E) दो बार आया है / Because (E) appears twice. Explanation: समान (E) की आपसी अदला-बदली नई arrangement नहीं देती। परीक्षा में repeated identical items के factorial से divide करें। / Interchanging identical (E)'s does not give a new arrangement. In exams divide by factorials of repeated identical items.

Which concept should I revise for this Mathematics MCQ?

Interchanging identical (E)'s does not give a new arrangement. In exams divide by factorials of repeated identical items.

What exam hint can help solve this Mathematics question?

समान (E) की आपसी अदला-बदली नई arrangement नहीं देती। परीक्षा में repeated identical items के factorial से divide करें।