The no. Of ways the letters of the word COMPUTER can be rearranged is?
The Number of Ways the Letters of the Word COMPUTER can be Rearranged
There are several methods to solve this problem, but one of the most common is to use permutations. Permutations are arrangements of objects where the order matters. In this case, we want to find the number of permutations of the letters in the word COMPUTER.
Step 1: Count the number of letters in the word
The first step is to count the number of letters in the word. In this case, there are 8 letters in the word COMPUTER.
Step 2: Identify if there are any repeated letters
The next step is to identify if there are any repeated letters in the word. In this case, there are two repeated letters: O and E.
Step 3: Use the permutation formula
The permutation formula is:
n! / (n1! x n2! x ... nk!)
where:
- n = the total number of objects (letters in the word)
- n1, n2, ..., nk = the number of objects that are identical (repeated letters)
Using this formula, we can find the number of permutations of the letters in the word COMPUTER:
8! / (2! x 2!) = 20,160
Step 4: Answer
Therefore, there are 20,160 ways to rearrange the letters in the word COMPUTER.