(75!) में (5) की अधिकतम घात क्या है?

What is the highest power of (5) in (75!)?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

C. (18)

Explanation

Simple Explanation

घात \(\left\lfloor\frac{75}{5}\right\rfloor+\left\lfloor\frac{75}{25}\right\rfloor=15+3=18\) है। अभाज्य की सभी संभव घातों के भागफल जोड़ें। / The exponent is \(\left\lfloor\frac{75}{5}\right\rfloor+\left\lfloor\frac{75}{25}\right\rfloor=15+3=18\). Add quotients of all possible powers of the prime.

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FAQs

Mathematics Answer, Explanation and Revision Hints

(75!) में (5) की अधिकतम घात क्या है? / What is the highest power of (5) in (75!)?

Correct Answer: C. (18). Explanation: घात \(\left\lfloor\frac{75}{5}\right\rfloor+\left\lfloor\frac{75}{25}\right\rfloor=15+3=18\) है। अभाज्य की सभी संभव घातों के भागफल जोड़ें। / The exponent is \(\left\lfloor\frac{75}{5}\right\rfloor+\left\lfloor\frac{75}{25}\right\rfloor=15+3=18\). Add quotients of all possible powers of the prime.