Respuesta :
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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