To find the number of combinations in a 7-digit number, we need to consider the range of digits we can use and their positioning.
A 7-digit number can include any digit from 0 to 9, but the first digit cannot be 0. This means:
- The first digit has 9 possible options (1 through 9).
- The remaining 6 digits can each be anything from 0 to 9, giving us 10 options for each of those digits.
Therefore, the total number of 7-digit combinations can be calculated as follows:
Number of options for the first digit: 9
Number of options for the remaining six digits: 106
So, the total number of 7-digit combinations equals:
Total Combinations = 9 * 106 = 9,000,000
This means there are 9 million different combinations possible in a 7-digit number.