In how many ways can 4 different letters be arranged?

₹0.0

Question: In how many ways can 4 different letters be arranged?

Options:

Correct Answer: 24

Solution:

The number of arrangements is 4! = 24.

In how many ways can 4 different letters be arranged?

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.

Factorial – The concept of factorial (n!) is used to determine the number of ways to arrange n distinct objects.
Permutations – The arrangement of distinct items in a specific order is known as permutations.