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  4. Number of different words that can be formed using all letters of the word ELEVEN if each word neither begins nor ends in E, is

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Q. Number of different words that can be formed using all letters of the word "ELEVEN" if each word neither begins nor ends in E, is

Permutations and Combinations

Solution:

$n ( A \cap \overline{ B })=36 ; n ( A \cap B )=24 ; n ( B \cap \overline{ A })=36 ; n (\overline{ A } \cap \overline{ B })=24$