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Question
From among the 36 teachers in a college, one principal, one vice-principal and the teacher-incharge are to be appointed. In how many ways can this be done?
Solution
Total number of teachers in the college = 36
Number of ways of selecting a principal = 36
Number of ways of selecting a vice-principal = 35 (as one of the teacher is already being selected for the post of principal)
Similarly, number of ways of selecting the teacher-incharge = 34
∴ Total number of ways of selecting all the three = 36\[\times\]35\[\times\]34 = 42840
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