Question
Download Solution PDFजब 7n - 6n को 36 से विभाजित किया जाता है, तो n = 100 के लिए शेषफल क्या होगा?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFव्याख्या:
मान लीजिये p(n) = 7n - 6n
= (6+1)n - 6n
= 1+6n +nC262 + nC363+.......... 6n -6n
= 1+ 62(nC2+ nC3 x 6 +....... 6n-2)
= 1+ 36(100C2 + 100C3 x 6 +........698).....(n =100)
= 1 + 36 k
जहाँ k = (100C2 + 100C3 x 6 +........698)
इस प्रकार जब 7n - 6n को 36 से विभाजित किया जाता है, तो शेषफल 1 होगा
∴ विकल्प (b) सही है
Last updated on Jun 18, 2025
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