एक (5)-विकल्प वाले (6) प्रश्नों की परीक्षा में विद्यार्थी हर प्रश्न का उत्तर देता है। किसी भी लगातार दो प्रश्नों में वही विकल्प नहीं चुना जा सकता। उत्तर-पैटर्न कितने होंगे?
In an exam of (6) questions with (5) options each, a student answers every question. The same option cannot be chosen in any two consecutive questions. How many answer patterns are possible?
Explanation opens after your attempt
A. \(5\cdot4^5\)
Concept
The first question has (5) choices and each next question has (4) choices different from the previous one. For consecutive restrictions, count position by position.
Why this answer is correct
The correct answer is A. \(5\cdot4^5\). The first question has (5) choices and each next question has (4) choices different from the previous one. For consecutive restrictions, count position by position.
Exam Tip
पहले प्रश्न के लिए (5) विकल्प और हर अगले प्रश्न के लिए पिछले से अलग (4) विकल्प हैं। लगातार प्रतिबंध में स्थान-दर-स्थान गिनती करें।
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