What is the greatest value of r satisfying the inequality \( ^{15}C_{r+1} > 2 \times {^{15}C_r} \) ?
- A. 2
- B. 3
- C. 4 ✓
- D. 5
Correct Answer: C. 4
Explanation
Expanding the binomial coefficients gives the condition 15 - r > 2(r + 1), which simplifies to 3r < 13. The greatest integer value is 4.
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