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From among the 36 teachers in a college,...

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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The number of ways to appoint one principal, vice-principal and the teacher incharge is equal to the number of ways to select the three teachers from `36 `members.
Therefore, a total of three positions are to be appointed.
The number of ways to select principal is` 36_C_1 = 36 `
The number of ways to select vice-principal is `35_C_1 = 35` (`35,` since one position is already given)
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