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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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If we appoint principle first than One principal can be appointed in 36 ways,
then, one vice-principal can be appointed in 35 ways and one teacher - in charge can be appointed in 34 ways.
So
total no. of ways `= 36xx35xx34 =42840`
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