### Question

#### Number of different permutations of the word 'BANANA' is

- 60
- 40
- 35
- 50

### Hint:

**First of all, we have to find the total number of words formed by BANANA. We know the formula that the total number of permutations of n items in which m items are the same is equal to **

#### The correct answer is: 60

#### According to the question, it is given that we have the word BANANA. We have to find the difference between the different permutations of the word BANANA and rank of the word BANANA.

First of all, we have to find the total number of permutations of the word BANANA.

We know the formula that the total number of permutations of n items in which m items are the same is equal to

In the word BANANA, we have six letters.

The total number of permutations of 6 letters = 6!

But in the letter BANANA, we have the letter A repeated thrice and the letter N repeated twice.

So, the total number of permutations of 6 letters =

Thus, number of different permutations of the word 'BANANA' is 60.

So, the total number of permutations of 6 letters =

Thus, number of different permutations of the word 'BANANA' is 60.

**In this question, one might think that the total number of permutations for the word BANANA is 6!**

This is wrong because in the word BANANA we have the letter A repeated thrice and the letter N repeated twice.

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