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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Solution

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 = $36 \times 35 \times 34$
$= 42840$

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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?

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 = 36×35×34 =42840

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?

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 = $36 \times 35 \times 34$
$= 42840$