The maximum value of the natural number \(n\) for which \(21^n\) divides \(50!\) is
Question and options
The maximum value of the natural number for which divides is
- 6
- 7
- 8
- 9
Answer and explanation
Correct answer: C - 8
21 = 3*7. Power of 7 in 50! = 7+1 = 8; power of 3 = 16+5+1 = 22. Limiting factor is 7, so n = 8.
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IPMAT Indore
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