How many three-digit numbers can be formed from the digits 1, 3, 5, 7, 8, and 9 if each digit can be used at most once in each number?
A)3
B)216
C)18
D)9
E)120

Question

How many three-digit numbers can be formed from the digits 1, 3, 5, 7, 8, and 9 if each digit can be used at most once in each number? ​
A)3
B)216
C)18
D)9
E)120

Quizplus · Accepted Answer

There are six digits available to form three-digit numbers, so we have 6 choices for the first digit, 5 choices for the second digit (since we already used one digit), and 4 choices for the third digit (since we already used two digits). Therefore, the total number of three-digit numbers that can be formed is:

6 x 5 x 4 = 120

So the answer is (E) 120.

How Many Three-Digit Numbers Can Be Formed from the Digits