In how many different ways can the letters of the word 'MATH' be arranged?
Practice Questions
Q1
In how many different ways can the letters of the word 'MATH' be arranged?
12
24
16
8
Questions & Step-by-Step Solutions
In how many different ways can the letters of the word 'MATH' be arranged?
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 we can arrange these 4 letters in different ways.
Step 4: Use the factorial notation to find the number of arrangements. The notation for factorial is 'n!', where 'n' is the number of items to arrange.
Step 5: Calculate 4! (which means 4 factorial). This is done by multiplying 4 × 3 × 2 × 1.
Step 6: Perform the multiplication: 4 × 3 = 12, then 12 × 2 = 24, and finally 24 × 1 = 24.
Step 7: Conclude that there are 24 different ways to arrange the letters of the word 'MATH'.
