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Answer:

5040

Step-by-step explanation:

8!/(2!x2!x2!)

8 letters in the word / 2r's 2e's 2t's

The number of ways in which the letters can be arrange is 5,040 ways.

The given letters include;

BARRETTE

The numbers of the individual letters repeated include;

  • letter R = 2
  • letter E = 2
  • letter T = 2

Total number of all the letters = 8

The number of ways in which the letters can be arrange will be determined using factorial method as shown below;

[tex]number \ of \ ways = \frac{8!}{2! \times 2! \times 2!} = \frac{40320}{8} = 5,040 \ ways[/tex]

Thus, the number of ways in which the letters can be arrange is 5,040 ways.

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