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MathNet 2007-part-02 — 187 problems (EN–VI) Question 96

Math Olympiad Vault · MathNet 2007-part-02 — 187 problems (EN–VI)

Question 96

Find the value of
$$
\frac{7}{12} + \frac{5}{12} \times \frac{7}{11} + \frac{5}{12} \times \frac{4}{11} \times \frac{7}{10} + \frac{5}{12} \times \frac{4}{11} \times \frac{3}{10} \times \frac{7}{9}
$$