How many distinguishable permutations of the letters in the word BANANA are there?
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Correct answer: (C) 60
Explanation
The number of permutations of n objects with n₁, n₂, ..., nₖ identical objects of each type is n!/(n₁! n₂! ... nₖ!). BANANA has 6 letters with A three times, N twice and B once: 6!/(3! 2! 1!) = 60.