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What is the smallest positive (n) for which (n!) is divisible by (2^8\cdot3^2\cdot5^2)?सबसे छोटा धनात्मक (n) क्या है जिसके लिए (n!) संख्या (2^8\cdot3^2\cdot5^2) से विभाज्य हो?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (10)(10)
(10!) contains exponent (8) of (2) and exponent (2) of (5). (9!) does not contain (5^2), so (10) is minimum.(10!) में (2) की घात (8) और (5) की घात (2) मिलती है। (9!) में (5^2) नहीं आता, इसलिए (10) न्यूनतम है।
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