How many ways can you arrange the letters of the word 'MATH'?

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Question: How many ways can you arrange the letters of the word \'MATH\'?

Options:

Correct Answer: 24

Solution:

The number of arrangements of the letters in \'MATH\' is 4! = 24.

How many ways can you arrange the letters of the word 'MATH'?

How many ways can you arrange the letters of the word 'MATH'?

Step 1: Identify the letters in the word 'MATH'. The letters are M, A, T, and H.
Step 2: Count the number of letters. There are 4 letters in total.
Step 3: Understand that to find the number of ways to arrange these letters, we use the factorial of the number of letters.
Step 4: Calculate the factorial of 4, which is written as 4!. This means 4 x 3 x 2 x 1.
Step 5: Perform the multiplication: 4 x 3 = 12, then 12 x 2 = 24, and finally 24 x 1 = 24.
Step 6: 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 distinct items.