How many different ways can the digits 1,2,3,4,5 be arranged to create a five digit password
5P5 = 4! = 120
To determine the number of different ways the digits 1, 2, 3, 4, and 5 can be arranged to create a five-digit password, we can use the concept of permutations.
Permutations refer to the number of different arrangements possible for a given set of items. In this case, we have 5 digits (1, 2, 3, 4, 5) that need to be arranged in a specific order to create the password.
The formula to calculate the number of permutations is given by:
n! / (n - r)!
Where n is the total number of items (in this case, the number of digits, which is 5) and r is the number of items to be arranged (in this case, the number of digits in the password, which is also 5).
Using this formula, we can calculate the number of different ways as follows:
5! / (5 - 5)!
= 5! / 0!
= 5! / 1
= 5 x 4 x 3 x 2 x 1
= 120
Therefore, there are 120 different ways the digits 1, 2, 3, 4, and 5 can be arranged to create a five-digit password.