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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?

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प्रश्न

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?

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उत्तर

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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अध्याय 16: Permutations - Exercise 16.2 [पृष्ठ १५]

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आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 16 Permutations
Exercise 16.2 | Q 15 | पृष्ठ १५

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