Class 11 Mathematics Permutations and Combinations Permutations Easy Level 59

शब्द (APPLE) के अलग-अलग अक्षर-क्रम कितने होंगे?

How many distinct letter arrangements are possible for the word (APPLE)?

Explanation opens after your attempt
Correct Answer

C. (60)

Step 1

Concept

Since (P) occurs twice, arrangements are \(\frac{5!}{2!}=60\). Divide by the factorial of repeated letters.

Step 2

Why this answer is correct

The correct answer is C. (60). Since (P) occurs twice, arrangements are \(\frac{5!}{2!}=60\). Divide by the factorial of repeated letters.

Step 3

Exam Tip

(P) दो बार है इसलिए व्यवस्थाएँ \(\frac{5!}{2!}=60\) होंगी। समान अक्षरों के factorial से भाग दें।

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शब्द (APPLE) के अलग-अलग अक्षर-क्रम कितने होंगे? / How many distinct letter arrangements are possible for the word (APPLE)?

Correct Answer: C. (60). Explanation: (P) दो बार है इसलिए व्यवस्थाएँ \(\frac{5!}{2!}=60\) होंगी। समान अक्षरों के factorial से भाग दें। / Since (P) occurs twice, arrangements are \(\frac{5!}{2!}=60\). Divide by the factorial of repeated letters.

Which concept should I revise for this Mathematics MCQ?

Since (P) occurs twice, arrangements are \(\frac{5!}{2!}=60\). Divide by the factorial of repeated letters.

What exam hint can help solve this Mathematics question?

(P) दो बार है इसलिए व्यवस्थाएँ \(\frac{5!}{2!}=60\) होंगी। समान अक्षरों के factorial से भाग दें।