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How many words can be formed from the letters of the word “CHAPTER”

Question

How many words can be formed from the letters of the word “CHAPTER”

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Solution

To find the number of words that can be formed from the letters of the word "CHAPTER," we can use the concept of permutations.

Step 1: Count the number of letters in the word "CHAPTER." In this case, there are 7 letters.

Step 2: Determine if there are any repeated letters in the word. In "CHAPTER," the letter 'P' is repeated twice.

Step 3: Calculate the total number of permutations using the formula: Total permutations = (number of letters)! / (number of times each letter is repeated)!

In this case, the total number of permutations is: Total permutations = 7! / 2!

Step 4: Simplify the expression: 7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040 2! = 2 x 1 = 2

Total permutations = 5040 / 2 = 2520

Therefore, there are 2520 different words that can be formed from the letters of the word "CHAPTER."

This problem has been solved

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