A doctor visits her patients during morning rounds. In how many ways can the doctor visit 6

patients during the morning rounds?

1 answer

The number of ways the doctor can visit 6 patients during morning rounds can be calculated using permutations.

Since the order in which the patients are visited matters, we use the formula for permutations:

nPr = n! / (n - r)!

where n is the total number of patients and r is the number of patients to be visited.

In this case, n = 6 and r = 6. Therefore, the number of ways the doctor can visit 6 patients is:

6P6 = 6! / (6-6)! = 6! / 0! = 720

Therefore, the doctor can visit 6 patients during morning rounds in 720 different ways.