How many different permutations can be formed from the word CONNECTICUT?
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In how many ways we can arrange the letters of the word "PERMUTATION" such that no two vowels occur together and no two T's occur together. Now in 6 star places i will arrange the vowels A,E,I,O,U which can be done in (65)×5! =6! ways.
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To calculate the amount of permutations of a word, this is as simple as evaluating n! , where n is the amount of letters. A 6-letter word has 6! =6⋅5⋅4⋅3⋅2⋅1=720 different permutations.
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