(n) लोगों को (r) distinct rooms में रखना है और rooms empty हो सकते हैं। Count \(r^n\) क्यों है?

(n) people are to be placed into (r) distinct rooms and rooms may be empty. Why is the count \(r^n\)?

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Correct Answer

A. क्योंकि हर person के लिए (r) room choices independent हैंBecause each person has (r) independent room choices

Step 1

Concept

Independent choices of distinct people multiply. In exams connect distinct-person box problems with powers.

Step 2

Why this answer is correct

The correct answer is A. क्योंकि हर person के लिए (r) room choices independent हैं / Because each person has (r) independent room choices. Independent choices of distinct people multiply. In exams connect distinct-person box problems with powers.

Step 3

Exam Tip

Distinct persons के independent choices multiply होते हैं। परीक्षा में व्यक्ति distinct हों तो balls-and-boxes को power से जोड़ें।

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(n) लोगों को (r) distinct rooms में रखना है और rooms empty हो सकते हैं। Count \(r^n\) क्यों है? / (n) people are to be placed into (r) distinct rooms and rooms may be empty. Why is the count \(r^n\)?

Correct Answer: A. क्योंकि हर person के लिए (r) room choices independent हैं / Because each person has (r) independent room choices. Explanation: Distinct persons के independent choices multiply होते हैं। परीक्षा में व्यक्ति distinct हों तो balls-and-boxes को power से जोड़ें। / Independent choices of distinct people multiply. In exams connect distinct-person box problems with powers.

Which concept should I revise for this Mathematics MCQ?

Independent choices of distinct people multiply. In exams connect distinct-person box problems with powers.

What exam hint can help solve this Mathematics question?

Distinct persons के independent choices multiply होते हैं। परीक्षा में व्यक्ति distinct हों तो balls-and-boxes को power से जोड़ें।