Respuesta :

musiclover10045

there are 6 letters

 6 x 5 x 4 x3 x 2= 720

 there are 2 P's

 so 720/2 = 360

 there are 360 possible arrangements

JeanaShupp

Answer: 360

Step-by-step explanation:

Given word : PURPLE

The number of letters in the word (n)=6

Since P is repeating two times in the given word.

Therefore, the number of possible arrangements of the letters in the word "PURPLE"

[tex]=\frac{6!}{2!}\\\\=\frac{6\times5\times4\times3\times2\times1}{2}\\\\=\frac{720}{2}\\\\=360[/tex]

Hence, there are 360 different arrangements of the letters in the word "PURPLE" .

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