Find the number of different permutations of the letters of the word `BANANA`?

Options

A. `180`
B. `720`
C. `60`
D. None

Answer

C

Explanation

The given word 'BANANA' contains 6 letters, out of which three are aike of one kind (3A's) two are alike of second kind (2 N's) and one of its own kind (1 B).
Total number of their permutations `=(6!)/((3!)xx(2!)xx(1!))=60.`