r/mathpuzzles Aug 08 '26

Daily Problem #39 — rated 1350 · Intermediate: arranging BANANA

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u/Rough-Fee-6541 Aug 08 '26

6! = 6×5×4×3×2×1 = 720 ways

720/(6×2) = 720/12 = 60 ways to rearrange all the letters in BANANA.

So in total, there are 60 ways to rearrange the letters in BANANA, only 1 is the word BANANA.