Solve the problem.
-How many different three-digit numbers can be written using digits from the set {2, 3, 4, 5, 6} Without any repeating digits?
A) 10
B) 20
C) 60
D) 120

Question

Quizplus · Accepted Answer

For a three-digit number without repeating digits using the set {2, 3, 4, 5, 6}, the first digit can be any of the 5 options (since it can't be 0 and we have 5 numbers to choose from), 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. Thus, 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