Determine the number of outcomes as requested.
-How many 3-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, if repetitions are not allowed?
A)5
B)6
C)180
D)343

Question

Quizplus · Accepted Answer

For a 3-digit number without repetition using the given digits, the first digit can be any of the 6 options (1-6, since 0 cannot be the first digit), the second digit can be any of the remaining 6 digits (since the first digit has been chosen and 0 is now an option), and the third digit can be any of the remaining 5 digits. Thus, the total number of outcomes is 6 * 6 * 5 = 180.

Determine the Number of Outcomes as Requested