Question
Download Solution PDF142! में अनुगामी शून्यों की संख्या ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
142! में अनुगामी शून्यों की संख्या
प्रयुक्त अवधारणा:
n! में अनुगामी शून्यों की संख्या = n!, 10 से जितनी बार विभाज्य होता है = 10 की उच्चतम घात जो n! को विभाजित करती है = n! में 5 की उच्चतम घात
गणना:
प्रश्नानुसार,
142/5 = 28
28/5 = 5
5/5 = 1
∴ शून्यों की कुल संख्या = 28 + 5 + 1 = 34Last updated on Jun 7, 2025
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