Solve.
-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) 60
C) 120
D) 20

Question

Quizplus · Accepted Answer

For a three-digit number without repeating digits, there are 5 choices for the first digit (2, 3, 4, 5, or 6), 4 remaining choices for the second digit (since one has been used already), and 3 choices for the third digit. Multiplying these together gives 5 * 4 * 3 = 60 different numbers.

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