arzateleslie arzateleslie
  • 12-05-2021
  • Mathematics
contestada


How many different 10-letter arrangements are possible using the letters in the word AUTOMOBILE?

Respuesta :

hvalluri5 hvalluri5
  • 17-05-2021

Answer:

1,814,400

Step-by-step explanation:

the formula would be: nPr / x_1 ! x_2!....

since there are 2 O's and it is a 10-LETTER ARRANGEMENT, the equation would now be:

10P10 / 2!

10P10 would simplify down to 10! so you would have :

10! / 2!

if you simplify this above: you would get 1,814,400

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