Find the number of ways in which the letters of the word ‘ARRANGEMENT’ can be arranged so that the two R’s and two A’s do not occur together.
(PERMUTATIONS AND COMBINATIONS)
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Answer: Now, when we subtract the number of ways in which the two A’s are together but not two R’s from the number of arrangements in which the two R’s are never together then we will get the number of arrangements in which neither two A’s nor the two R’s are together and that is 900−240=660 ways.
Hence, 660 such arrangements are possible in which neither two A’s nor the two R’s are together
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