SOLUTION: I hope I got this right..can you tell me, please? What are the number of permutations of the letters of the word MATH? 4, 48, 4! or 4.4.4.4 I chose 48, because 4 x 4 = 16

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The answer here should be 4!, which is, in English, either 4 factorial or 4 shriek, which is 4 x 3 x 2 x 1. The logic behind the answer is as the following.
We are trying to create 4-letter words with 4 different letters, M, A, T and H. Consequently, there are 4 possible letters this 4-letter word can start with. Next, we consider the second letter, since one letter has been taken, there remains only three possibilities. Similarly, only 2 letters remain to choose the third letter, and there is no choice for the fourth letter. So multiplying 4 x 3 x 2 x 1 gives 4!.

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You are looking for the number of permutations of 4 things (MATH) taken 4 at-a-time.
but in this problem, r = n = 4
(4-4)! = 0! = 1
= 4*3*2*1 = 24