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How many distinguishable permutations of the letters in the work BANANA are there ?

(1) 720                                                              (2) 120

(3) 60                                                              (4) 360

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Distinguishable permutation means the letters won't be repeated. Here BANANA contains 6 letters in which N has been repeated twice and A has been repeated thrice. Hence number of distinguishable permutations = 6!/(3!2!) = 60

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