यदि पुनरावृत्ति allowed हो और (r) स्थानों पर (n) विकल्प हर बार मिलें तो कुल क्रमबद्ध व्यवस्थाएँ कितनी होंगी?
If repetition is allowed and (n) choices are available each time for (r) positions how many ordered arrangements are possible?
Explanation opens after your attempt
Correct Answer
C. \(n^r\)
Concept
Each position independently has (n) choices so the product is \(n\times n\times\cdots\times n=n^r\). In exams choices do not decrease when repetition is allowed.
Why this answer is correct
The correct answer is C. \(n^r\). Each position independently has (n) choices so the product is \(n\times n\times\cdots\times n=n^r\). In exams choices do not decrease when repetition is allowed.
Exam Tip
हर स्थान पर (n) विकल्प स्वतंत्र रूप से मिलते हैं इसलिए गुणन \(n\times n\times\cdots\times n=n^r\) होता है। परीक्षा में repetition allowed हो तो विकल्प घटते नहीं हैं।
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