How to Calculate Combinations for a 4-Digit Lock (0-9)

Understanding Combination Locks

• 🎯 A combination lock uses a four-digit code, where each digit can be any number from 0 to 9.
• 💡 Each of the four positions in the code requires a single digit to be chosen.

Calculating Possible Combinations

• 🔢 For the first digit, there are 10 possible choices (0 through 9).
• 🔢 Similarly, for the second digit, there are 10 possible choices (0 through 9).
• 🔢 The third digit also has 10 possible choices (0 through 9).
• 🔢 And the fourth digit has 10 possible choices (0 through 9).

Applying the Fundamental Counting Principle

• 🧮 To find the total number of different combinations possible, we use the fundamental counting principle.
• ✖️ This involves multiplying the number of options for each spot together: 10 x 10 x 10 x 10.
• 🚀 The calculation 10 multiplied by itself four times (10^4) equals 10,000.
• ✅ Therefore, there are 10,000 different combinations possible for a four-digit lock where each digit can be any number from 0 to 9.