SOLUTION:
Step 1:
In this question, we are to find the number of 3-digit telephone area codes possible if each digit can be from 0-9.
Step 2:
The digits here are; 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. Ten digits in all.
Step 3:
Out of these 10 digits, we are interested in 3-digit at a time, e.g 214, 719, 604, etc.
Step 4:
With the understanding of step 3, there are 10 ways of selecting a number.
For the first number (10 ways), the Second number (10 ways), and the third number (10 ways), which is 10 x 10 x 10 = 1000
CONCLUSION:
The number of possible ways 3-digit telephone area codes, if each digit can be from 0-9 is therefore 1,000 ways.