Math  /  Numbers & Operations

QuestionThe local seven-digt telephone numbers in city A have 499 as the first three digits. How many different telephone numbers are possible in city AA ? \square telephone numbers

Studdy Solution

STEP 1

1. The telephone numbers in city A are seven digits long.
2. The first three digits of these telephone numbers are fixed as 499.
3. We need to find the number of possible combinations for the remaining four digits.

STEP 2

1. Determine the number of choices for each of the remaining digits.
2. Calculate the total number of different telephone numbers possible.

STEP 3

The first three digits of the telephone numbers are fixed as 499. Therefore, we only need to consider the remaining four digits.

STEP 4

Each of the remaining four digits can be any digit from 0 to 9. Therefore, for each digit, there are 10 possible choices.

STEP 5

Calculate the total number of different combinations for the four digits. Since each digit is independent, we multiply the number of choices for each digit.
\[ 10 \times 10 \times 10 \times 10 = 10^4 $

STEP 6

Calculate 104 10^4 .
\[ 10^4 = 10000 $
The total number of different telephone numbers possible in city A is:
10000 telephone numbers\boxed{10000 \text{ telephone numbers}}

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