Question

A numerical pass code is required to open a car door. The pass code is five digits long and uses the digits 0–9. Numbers may be repeated in the pass code. How many different pass codes exist

Answer 1

im pretty sure it would be 45

Answer 2

100,000

Explanation:

A numerical pass code is required to open a car door.

The pass code is five digits long and uses the digits 0–9.

So, total number of possible digits will be 10

Condition:-

• Numbers may be repeated in the pass code.
• Pass code 5 digits long.
• digits are 0-9

Total number of possible pass code = __×__×__×__×__

For each blank space we have 10 choices to fill because digit repeated. So, every blank space 10 possible digits.

Total number of possible pass code = 10×10×10×10×10

= 10⁵

= 100,000

Hence, Total number of pass code form will be 100,000