Solve the problem.
-How many different three-digit numbers can be written using digits from the set {4, 5, 6, 7, 8} without any repeating digits?
A) 10
B) 60
C) 120
D) 20

Question

Quizplus · Accepted Answer

For a three-digit number without repeating digits using the set {4, 5, 6, 7, 8}, the first digit can be any of the 5 options, the second digit can be any of the remaining 4 options (since the first digit has been chosen and cannot be repeated), and the third digit can be any of the remaining 3 options. Therefore, the total number of different three-digit numbers is 5 * 4 * 3 = 60.

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