Given as
Total number of teachers in a school = 36
As we know that, number of arrangements of n things taken r at a time = P(n, r)
On using the formula,
P (n, r) = n!/(n – r)!
∴ 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)
P (36, 2) = 36!/(36 – 2)!
= 36!/34!
= (36 × 35 × 34!)/34!
= 36 × 35
= 1260
Thus, number of ways in which one principal and one vice-principal are to be appointed out of total 36 teachers in school are 1260.
