If a lock has 4 digits, how many different combinations can be formed using the

If a lock has 4 digits, how many different combinations can be formed using the digits 0-9?

If a lock has 4 digits, how many different combinations can be formed using the digits 0-9?

Step 1: Understand that a lock with 4 digits means you need to choose 4 numbers.
Step 2: Each digit can be any number from 0 to 9. This means there are 10 possible choices for each digit.
Step 3: Since there are 4 digits, and each digit has 10 choices, you multiply the number of choices for each digit together.
Step 4: The calculation is 10 (choices for the first digit) multiplied by 10 (choices for the second digit) multiplied by 10 (choices for the third digit) multiplied by 10 (choices for the fourth digit).
Step 5: This can be written as 10^4, which means 10 multiplied by itself 4 times.
Step 6: Calculate 10^4, which equals 10000. This is the total number of different combinations for the lock.

Combinatorial Counting – The question tests the understanding of how to calculate the total number of combinations by considering the number of choices for each digit.