You have four tiles that say M, A, T, and H. How many words can you form from these tiles? For example, you can form "AMH" and "TH". (The words do not have to be valid English words.)
Using casework, there are 4 + 6 + 18 + 24 = 52 possible words.
1 letter + 2 letter + 3 Letter + 4 letter
4 4 P 2 4 P 3 4 P 4
4 + 12 + 24 + 24 = 64 words