The Computer Department in a large company assigns
a personal code number to each employee in the form
of a three-digit number using the digit 0 to 9 inclusive.
Code numbers starting with 0 are reserved for
members of the management. How many code
numbers are available for non-management
employees?
Select one:
a. 950
b. 800
c. 900
d. 920

Question

UpStudy AI · Accepted Answer

1. The three-digit code is of the form $$ abc $$, where $$ a $$, $$ b $$, and $$ c $$ are digits from 0 to 9.
2. Since code numbers starting with 0 are reserved, the first digit $$ a $$ must be chosen from 1 to 9. This gives $$ 9 $$ choices for $$ a $$.
3. The second digit $$ b $$ can be any digit from 0 to 9, yielding $$ 10 $$ choices.
4. Similarly, the third digit $$ c $$ can be any digit from 0 to 9, also yielding $$ 10 $$ choices.
5. The total number of available code numbers for non-management employees is calculated by multiplying the number of choices for each digit:

$$
9 \times 10 \times 10 = 900
$$

Thus, the correct answer is $$ 900 $$.
There are 900 code numbers available for non-management employees.

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