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”
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."
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