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In how many ways can 4 different letters be arranged?

Practice Questions

Q1
In how many ways can 4 different letters be arranged?
  1. 24
  2. 12
  3. 16
  4. 20

Questions & Step-by-Step Solutions

In how many ways can 4 different letters be arranged?
  • Step 1: Understand that we have 4 different letters to arrange.
  • Step 2: Recognize that arranging these letters means we want to find all possible orders they can be placed in.
  • Step 3: Use the factorial notation, which is represented by 'n!'. This means you multiply all whole numbers from n down to 1.
  • Step 4: For 4 letters, we calculate 4! (which means 4 factorial).
  • Step 5: Calculate 4! = 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 4 letters.
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