Final answer:
The total number of ways in which 10 persons can be seated in 8 seats is 90.
Step-by-step explanation:
To find the total number of ways in which 10 persons can be seated in 8 seats, we can use the concept of permutations. Since the order of seating matters, we need to find the number of permutations of 10 people taking 8 at a time.
The formula to calculate permutations is P(n, r) = n! / (n-r)! where n is the total number of items and r is the number of items taken at a time.
In this case, we have n = 10 and r = 8. Plugging these values into the formula, we get:
P(10, 8) = 10! / (10-8)! = 10! / 2! = 10 x 9 = 90.