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