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SMO 2017 Senior Round 1 Question 18

SMO · SMO 2017 Senior Round 1

Question 18

There are 5 girls and 5 boys in a junior class, and 4 girls and 9 boys in a senior class. A committee of 7 members is to be formed by selecting students from these two classes. Find the number of ways this can be done if the committee must have exactly 4 seniors and exactly 5 boys.