Answer:
100,000
200
65,610
Step-by-step explanation:
Given that:
Identification number = 5 digits
A.) number of identification numbers possible :
Possible digits : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
Total digits possible = 10
Each digit can be any of the 10;
Hence,
10 * 10 * 10 * 10 * 10 = 100,000 possibilities
B.) How many of them begin with either 023 or 003
023 or 003
0 or 0 = 1 option
2 or 0 = 2 options
3 or 3 = 1 option
Other digits will have any of the 10 options :
1 * 2 * 1 * 10 * 10 = 200
3.) if no two digits that follow each other are the same, then only the first digit has 10 options with the other 4 each having 9
10 * 9 * 9 * 9 * 9 = 65,610
