How many different three-digit numbers can be written using digits from the set {5, 6, 7, 8, 9} without any repeating digits?
A) 20
B) 60
C) 10
D) 120

Question

Quizplus · Accepted Answer

For a three-digit number without repeating digits, there are 5 choices for the first digit, 4 remaining choices for the second digit, and 3 choices for the third digit. Multiplying these together gives 5 * 4 * 3 = 60 different numbers.

How Many Different Three-Digit Numbers Can Be Written Using Digits