How many different ways can the letters of the word 'MATH' be arranged?

How many different ways can the letters of the word 'MATH' be arranged?

Step 1: Identify the number of letters in the word 'MATH'. There are 4 letters: M, A, T, H.
Step 2: Understand that to find the number of different arrangements of these letters, we use the factorial of the number of letters.
Step 3: Calculate the factorial of 4, which is written as 4!. This means 4 x 3 x 2 x 1.
Step 4: Perform the multiplication: 4 x 3 = 12, then 12 x 2 = 24, and finally 24 x 1 = 24.
Step 5: Conclude that there are 24 different ways to arrange the letters of the word 'MATH'.

Permutations – The question tests the understanding of permutations, specifically how to calculate the number of ways to arrange a set of distinct items.