Question

In how many distinguishable ways can the letters in BANANA be written?

Answer 1

There are 3×2×1 = 6 ways to rearrange the A's and 2×1 = 2 ways to rearrange the N's. So, there are: 720/(6×2) = 720/12 = 60 ways to rearrange all the letters in BANANA. That gives you a 12/60 = 1/5 probability of actually getting the word BANANA, which is pretty good!