Question

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

- 100
- 115
- 119
- 120

Hint:

### Total number of arrangements of the letters of the word CHEESE = Number of arrangements of 6 things taken all at a time, of which 3 are of one kind

## The correct answer is: 119

### The letter CHEESE contains 3 E's

Thus, Total number of arrangements of the letters of the word CHEESE = Number of arrangements of 6 things taken all at a time, of which 3 are of one kind =

### Related Questions to study

### 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.

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