Question

A teacher and 8 students are to be seated along in a bench. How many different seating arrangements are possible?

a) 9
b) 72
c) 90
d) 720

Answer 1

The number of different seating arrangements is 8!, which is 40,320.

Step-by-step explanation:

To calculate the number of different seating arrangements, we use the concept of permutations. Since the teacher must sit in a specific seat and the remaining 8 students can sit in any order, the total number of arrangements is 8! (8 factorial), which is equal to 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40,320. Therefore, the correct answer is option d) 720.