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In how many ways can the letters of the word 'MATH' be arranged?

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Question: In how many ways can the letters of the word \'MATH\' be arranged?

Options:

  1. 24
  2. 12
  3. 6
  4. 4

Correct Answer: 24

Solution: 

The number of ways to arrange the letters of \'MATH\' is 4! = 24.

In how many ways can the letters of the word 'MATH' be arranged?

Practice Questions

Q1
In how many ways can the letters of the word 'MATH' be arranged?
  1. 24
  2. 12
  3. 6
  4. 4

Questions & Step-by-Step Solutions

In how many ways can the letters of the word 'MATH' be arranged?
Correct Answer: 24
  • 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 ways to arrange 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'.
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