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The number of ways in which letter of the word `'"ARRANGE"'` can be arranged, such that no two R's are together, is

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The number of ways in which the letters of the word 'ARRANGE' can be arranged so that two A's are together is

The number of ways in which the letters of the word ARRANGE be arranged so that (i) the two R's are never together, (ii) the two A's are together but not two R's. (iii) neither two A's nor two R's are together.

The number of ways in which the letters of the word PESSIMISTIC can be arranged so that no two S's are together, no of two I's are together and letters S and I are never together is

The number of ways in which the letters of the word ARRANGE be arranged so that (i)the two R are never together,(ii) the two As are together but hot two Rs.(iii)Neither two As nor two Rs are together.

The number of ways in which the letters of the word TRIANGLE can be arranged such that two vowels do not occur together is

Number of ways in which the letters of the word TAMANNA be arranged is

The total number of ways in which letters of the word ACCOST can be arranged so that the two C's never come together will be

Total number of ways in which the letters of the word 'MISSISSIPPI' can be arranged, so that any two S's are separated, is equal to

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