सबसे छोटा धनात्मक (n) क्या है जिसके लिए (n!) संख्या \(2^{10}\cdot3^4\cdot5\cdot7\) से विभाज्य हो?
What is the smallest positive (n) for which (n!) is divisible by \(2^{10}\cdot3^4\cdot5\cdot7\)?
Explanation opens after your attempt
Correct Answer
C. (12)
Concept
(12!) has exponent (10) of (2) and exponent (5) of (3). Therefore all given conditions are first satisfied by (12!).
Why this answer is correct
The correct answer is C. (12). (12!) has exponent (10) of (2) and exponent (5) of (3). Therefore all given conditions are first satisfied by (12!).
Exam Tip
(12!) में (2) की घात (10) और (3) की घात (5) होती है। इसलिए दी गई सभी शर्तें पहली बार (12!) में पूरी होती हैं।
Login to save your score, XP, coins and progress.