Question

How many different four-letter combinations for a locker password can you make with the lowercase and uppercase forms of the first four letters of the alphabet?

Answer 1

4,096

Step-by-step explanation:

Given the conditions from the questions, we have the uppercase and lowercase versions of the first four letters. Aa, Bb, Cc, Dd. This gives use a total of eight units to deal with. We also know that we have four possible slots for these eight units. If we do the math: 8 ^ 4, we get 4,096.

You do, The number of units x to the power of how how many slots there are y: So we get x ^ y

Proof it works: Say we have 10 numbers 0-9 and we have 4 slots.

Well we can use the formula from above and replace x with 10 and y with 4 Then we get: 10 ^ 4 = 10,000 which is how many possible combinations of 4 numbers.