(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 \(r^n\)?
Explanation opens after your attempt
A. क्योंकि हर person के लिए (r) room choices independent हैंBecause each person has (r) independent room choices
Concept
Independent choices of distinct people multiply. In exams connect distinct-person box problems with powers.
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.
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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