In how many ways can the letters of the word COMPUTER be arranged?
Question
In how many ways can the letters of the word COMPUTER be arranged?
Solution
The word COMPUTER has 8 letters in total. However, the letter "E" appears twice.
The number of ways to arrange n distinct items is given by n factorial (n!).
However, if there are duplicates (like the "E" in COMPUTER), we need to divide by the factorial of the number of duplicates.
So, the number of ways to arrange the letters in COMPUTER is 8! divided by 2!.
8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40,320 2! = 2 x 1 = 2
So, the number of ways to arrange the letters in COMPUTER is 40,320 / 2 = 20,160.
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