36. How many two-letter code words can be made from the letters "MATH?"

Step 1 ：The problem is asking for the number of two-letter code words that can be made from the letters 'MATH'. This is a permutation problem, because the order of the letters matters.

Step 2 ：The formula for permutations is \(nPr = \frac{n!}{(n-r)!}\), where n is the total number of items, r is the number of items to choose, and '!' denotes factorial.

Step 3 ：In this case, n = 4 (the number of letters in 'MATH') and r = 2 (the number of letters in each code word).

Step 4 ：Substituting the values into the formula, we get \(4P2 = \frac{4!}{(4-2)!}\).

Step 5 ：Solving the equation gives us 12.0, which means there are 12 different two-letter code words that can be made from the letters 'MATH'.

Step 6 ：Final Answer: \(\boxed{12}\)