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How many ways can you arrange the letters in the word 'MATH'?
How many ways can you arrange the letters in the word 'MATH'?
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Practice Questions
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Q1
How many ways can you arrange the letters in the word 'MATH'?
12
24
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The number of arrangements = 4! = 24.
Questions & Step-by-step Solutions
1 item
Q
Q: How many ways can you arrange the letters in the word 'MATH'?
Solution:
The number of arrangements = 4! = 24.
Steps: 5
Show Steps
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 you multiply 4 by all the whole numbers less than it: 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 in the word 'MATH'.
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