Discussion Groups A history instructor wants to split a class of 10 students into three discussion groups. One group will consist of four students and discuss topic A. The second and third groups will discuss topics B and C, respectively, and consist of three students each.
(a) In how many ways can the instructor form the groups?
(b) If the instructor designates a group leader and a secretary (different students) for each group, in how many ways can the class be split?
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