Question

If a 6-digit lottery ticket is sold and includes all possible digits from 0 to 9, then how many different tickets could be sold, if the order in which you pick the numbers matters?(1 point)

Answer 1

To calculate the total number of different 6-digit lottery tickets that can be sold when the order of the digits matters and all digits from 0 to 9 are available, we can use the concept of permutations.

Since each digit can range from 0 to 9, there are 10 possible choices for each of the 6 positions in the ticket.

Thus, the total number of different 6-digit combinations is calculated as follows:

\[
10 \times 10 \times 10 \times 10 \times 10 \times 10 = 10^6 = 1,000,000
\]

Therefore, the total number of different lottery tickets that could be sold is **1,000,000**.