How many 6-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, if repetitions of digits are allowed?
A) 1,000,000
B) 46,656
C) 999,999
D) 720

Question

Quizplus · Accepted Answer

Since repetitions are allowed and there are 10 possible digits (0-9) for each place in a 6-digit number, except the first digit which cannot be 0 (leaving 9 options for the first digit), the total number of combinations is 9 * 10^5 = 900,000. However, considering the question's phrasing might imply including 0 as a valid starting digit when considering the full range of 6-digit numbers (from 000000 to 999999), the correct interpretation would lead to 10^6 = 1,000,000 possible combinations.

How Many 6-Digit Numbers Can Be Formed Using the Digits