Final answer:
The number of 4-letter words that can be made from the letters 'math' is 24.
Step-by-step explanation:
To find the number of 4-letter words that can be made from the letters 'math', we can use the concept of permutations.
We have 4 letters to choose from, so for the first letter, we have 4 options. Once we choose the first letter, there are 3 options left for the second letter. For the third letter, there are 2 options left, and for the fourth letter, there is only 1 option left.
Therefore, the number of 4-letter words that can be made is 4x3x2x1 = 24.