Examveda
Examveda

In how many different ways can the letters of the word BANANA be arranged?

A. 60

B. 120

C. 360

D. 720

E. None of these

Answer: Option A

Solution(By Examveda Team)

The given words contains 6 letters of which A is taken 3 times, N is taken 2 times and the rest are all different.
∴ Required number of ways
$$\eqalign{ & = \frac{{6!}}{{3! \times 2!}} \cr & = \frac{{6 \times 5 \times 4 \times 3 \times 2 \times 1}}{{6 \times 2}} \cr & = 60 \cr} $$

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