Question -
Answer -
Given:
The total number ofteachers in a school = 36
We know, number ofarrangements of n things taken r at a time = P(n, r)
By using the formula,
P (n, r) = n!/(n – r)!
∴ The total numberof ways in which this can be done = the number of arrangements of 36 thingstaken 2 at a time = P(36, 2)
P (36, 2) = 36!/(36 –2)!
= 36!/34!
= (36 × 35 × 34!)/34!
= 36 × 35
= 1260
Hence, Number of waysin which one principal and one vice-principal are to be appointed out of total36 teachers in school are 1260.