शब्द (BOOK) में (4) अक्षर हैं और (O) दो बार आता है। इसके अलग-अलग arrangements कितने होंगे?

The word (BOOK) has (4) letters and (O) occurs twice. How many distinct arrangements are possible?

Explanation opens after your attempt
Correct Answer

C. (12)

Step 1

Concept

Because two (O)'s are identical, arrangements are \(\frac{4!}{2!}=12\). For identical objects, divide by their factorial.

Step 2

Why this answer is correct

The correct answer is C. (12). Because two (O)'s are identical, arrangements are \(\frac{4!}{2!}=12\). For identical objects, divide by their factorial.

Step 3

Exam Tip

दो समान (O) होने से व्यवस्थाएँ \(\frac{4!}{2!}=12\) होंगी। समान वस्तुओं के लिए factorial से भाग दें।

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शब्द (BOOK) में (4) अक्षर हैं और (O) दो बार आता है। इसके अलग-अलग arrangements कितने होंगे? / The word (BOOK) has (4) letters and (O) occurs twice. How many distinct arrangements are possible?

Correct Answer: C. (12). Explanation: दो समान (O) होने से व्यवस्थाएँ \(\frac{4!}{2!}=12\) होंगी। समान वस्तुओं के लिए factorial से भाग दें। / Because two (O)'s are identical, arrangements are \(\frac{4!}{2!}=12\). For identical objects, divide by their factorial.

Which concept should I revise for this Mathematics MCQ?

Because two (O)'s are identical, arrangements are \(\frac{4!}{2!}=12\). For identical objects, divide by their factorial.

What exam hint can help solve this Mathematics question?

दो समान (O) होने से व्यवस्थाएँ \(\frac{4!}{2!}=12\) होंगी। समान वस्तुओं के लिए factorial से भाग दें।