(20!) को विभाजित करने वाली (2) की अधिकतम घात क्या है?
What is the highest power of (2) that divides (20!)?
Explanation opens after your attempt
D. (18)
Concept
The exponent is \( \left\lfloor\frac{20}{2}\right\rfloor+\left\lfloor\frac{20}{4}\right\rfloor+\left\lfloor\frac{20}{8}\right\rfloor+\left\lfloor\frac{20}{16}\right\rfloor=18 \). Add all quotients for a prime exponent.
Why this answer is correct
The correct answer is D. (18). The exponent is \( \left\lfloor\frac{20}{2}\right\rfloor+\left\lfloor\frac{20}{4}\right\rfloor+\left\lfloor\frac{20}{8}\right\rfloor+\left\lfloor\frac{20}{16}\right\rfloor=18 \). Add all quotients for a prime exponent.
Exam Tip
घात \( \left\lfloor\frac{20}{2}\right\rfloor+\left\lfloor\frac{20}{4}\right\rfloor+\left\lfloor\frac{20}{8}\right\rfloor+\left\lfloor\frac{20}{16}\right\rfloor=18 \) है। अभाज्य घात के लिए सभी भागफल जोड़ें।
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