एक छात्र (6) दिनों की पढ़ाई योजना बनाता है। हर दिन गणित, भौतिकी या रसायन में से एक विषय पढ़ता है, पर लगातार दो दिन वही विषय नहीं पढ़ता। योजनाओं की संख्या कितनी है?
A student makes a (6)-day study plan. Each day he studies one subject from Mathematics, Physics, or Chemistry, but he never studies the same subject on consecutive days. How many plans are possible?
Explanation opens after your attempt
A. \(3\cdot2^5\)
Concept
The first day has (3) choices and each later day has (2) choices different from the previous day. With consecutive restrictions, choices reduce after the first position.
Why this answer is correct
The correct answer is A. \(3\cdot2^5\). The first day has (3) choices and each later day has (2) choices different from the previous day. With consecutive restrictions, choices reduce after the first position.
Exam Tip
पहले दिन (3) विकल्प हैं और अगले प्रत्येक दिन पिछले से अलग (2) विकल्प हैं। लगातार शर्त में पहले स्थान के बाद विकल्प घट जाते हैं।
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