What is the greatest value of satisfying the inequality ? असमिका को संतुष्ट करने वाले r का महत्तम मान क्या है ?

4 Explanation: Expand the Inequality: The given inequality is: Simplify the Factorials: Cancel from both sides and expand the factorials: Now, cancel and from the denominators: Solve the Linear Inequality: Since is a positive integer, we can cross-multiply without changing the inequality sign: Conclusion: The greatest integer that satisfies is . Correct Option: (c) 4

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NDA 2026 — Mathematics PYQ

NDA | Mathematics | 2026

What is the greatest value of $r$ satisfying the inequality $^{15}C_{r+1} > 2 \times ^{15}C_r$ ?

असमिका $^{15}C_{r+1} > 2 \times ^{15}C_r$ को संतुष्ट करने वाले r का महत्तम मान क्या है ?

Choose the correct answer: