Q. 165.0( 1 Vote )

From among the 36 teachers in a school, one principal and one vice-principal are to be appointed. In how many ways can this be done?

Answer :

Given, the total number of teachers in a school = 36


To find: The number of ways in which one principal and one vice-principal can be appointed


Formula used:


Number of arrangements of n things taken r at a time = P(n, r)



The total number of ways in which this can be done


= the number of arrangements of 36 things taken 2 at a time


= P(36, 2)





= 36 × 35


= 1260


Hence, Number of ways in which one principal and one vice-principal are to be appointed out of total 36 teachers in school are 1260


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