Solve the problem.
-How many different three-digit numbers can be written using digits from the set {3, 4, 5, 6, 7} without any repeating digits?
A) 120
B) 20
C) 10
D) 60

Question

Quizplus · Accepted Answer

For a three-digit number without repeating digits using the set {3, 4, 5, 6, 7}, the first digit can be any of the 5 options (since it can be 3, 4, 5, 6, or 7), the second digit can be any of the remaining 4 options (since one digit has already been used), 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