Solve the problem.
-How many five-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, if repetitions are not Allowed?
A) 119
B) 2520
C) 120
D) 16,807

Question

Quizplus · Accepted Answer

The first digit can be any of the 6 options (1-6, since 0 cannot be the first digit), and for each choice of the first digit, there are 6 remaining digits for the second position, 5 for the third, 4 for the fourth, and 3 for the fifth. Thus, the total number of combinations is 6 * 6 * 5 * 4 * 3 = 2160.

Solve the Problem. -How Many Five-Digit Numbers Can Be Formed Using the Digits