Solve the problem.
-How many different three-digit numbers can be written using digits from the set {1, 2, 3, 4, 5} Without any repeating digits?
A) 20
B) 120
C) 10
D) 60

Question

Quizplus · Accepted Answer

For a three-digit number without repeating digits, using the digits from the set {1, 2, 3, 4, 5}, we have 5 choices for the first digit, 4 remaining choices for the second digit (since we can't repeat the first digit), and 3 choices for the third digit (since we can't repeat the first two digits). Multiplying these choices together gives us the total number of different three-digit numbers possible: 5 * 4 * 3 = 60.

Solve the Problem. -How Many Different Three-Digit Numbers Can Be Written Using Digits