Problem
COM-B1-M02-P007 The Word \(BANANA\)
#7
★★☆☆☆ Level 2 of 5
How many distinct permutations of the letters of \(BANANA\) are there?
The letter \(A\) appears \(3\) times, \(N\) appears \(2\) times.
There are \(6\) letters. Divide \(6!\) by \(3!\) for the \(A\)'s and by \(2!\) for the \(N\)'s. We get \(6!/(3!\cdot2!)=60\).
Classic anagram with two repeated letters.