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

**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.

### Related Questions to study

### The number of one - one functions that can be defined from into is

### The number of one - one functions that can be defined from into is

### Four dice are rolled then the number of possible out comes is

### Four dice are rolled then the number of possible out comes is

### The number of ways in which 5 different coloured flowers be strung in the form of a garland is :

### The number of ways in which 5 different coloured flowers be strung in the form of a garland is :

### Number of ways to rearrange the letters of the word CHEESE is

### Number of ways to rearrange the letters of the word CHEESE is

### The number of ways in which 17 billiard balls be arranged in a row if 7 of them are black, 6 are red, 4 are white is

We cannot arrange the billiards balls as follows:

There are 17 balls, so the total number of arrangements = 17!

This is incorrect because this method is applicable only when the balls are distinct, not identical. But, in our case, all the balls of the same color are identical.

### The number of ways in which 17 billiard balls be arranged in a row if 7 of them are black, 6 are red, 4 are white is

We cannot arrange the billiards balls as follows:

There are 17 balls, so the total number of arrangements = 17!

This is incorrect because this method is applicable only when the balls are distinct, not identical. But, in our case, all the balls of the same color are identical.

### Number of permutations that can be made using all the letters of the word MATRIX is

### Number of permutations that can be made using all the letters of the word MATRIX is

### The number of different signals that can be made by 5 flags from 8 flags of different colours is :

Each of the different arrangements which can be made by taking some or all of a number of things at a time is called permutation. **Thus we can say that the permutation concerns both the selection and the arrangement of the selected things in all possible ways.**

### The number of different signals that can be made by 5 flags from 8 flags of different colours is :

Each of the different arrangements which can be made by taking some or all of a number of things at a time is called permutation. **Thus we can say that the permutation concerns both the selection and the arrangement of the selected things in all possible ways.**