  How many different ways can the letters of ​"attract​" be​ arranged?The number of different ways that the letters of ​"attract​" can be arranged is?

Question

How many different ways can the letters of ​"attract​" be​ arranged?
The number of different ways that the letters of ​"attract​" can be arranged is?

Step 1

Fromula used:

If there are n different objects in the system then the number of different ways of arrangment of n objects is n!

If the repetation of the objects are allowed in the system the number of different ways of arrangment is,

Step 2

Find the number of different ways of arrangment of the letters "attract" as follows.

Total number of letters in the word "attract" is 7.

The number of different ways of arrangment of the 7 letters is 7!

The repetition of the letter "a" is 2 and the repetition of the letter "t" is 3.

Step 3

The number of different ways of arran...

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