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In how many different ways, the letters of the word 'RECTITUDE' can be arranged so that vowels
not come together?

Sagot :

GinnyAnsweridn

Final answer:

The answer explains how to calculate the number of ways to arrange the letters of 'RECTITUDE' without vowels coming together.


Explanation:

The number of ways to arrange the letters of 'RECTITUDE' so that vowels do not come together can be calculated as follows:

1. Start by calculating the total number of ways to arrange all the letters in 'RECTITUDE', which is 8! (8 factorial).

2. Next, calculate the number of ways the vowels can be arranged together (considering them as one unit) in 'EUIE', which is 4! (4 factorial).

3. Subtract the number of ways the vowels can be arranged together from the total number of arrangements to get the final result: 8! - 4!


Learn more about Permutations and Combinations here:

https://brainly.com/question/34452834


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