coolandepic coolandepic
  • 16-06-2017
  • Mathematics
contestada

The number of three-digit numbers with distinct digits that can be formed using the digits 1, 2, 3, 5, 8, and 9 is

Respuesta :

Luv2Teach
Luv2Teach Luv2Teach
  • 10-08-2019

Answer:

120

Step-by-step explanation:

Upon pondering the wording here, I am thinking this must be a permutation.  The words "distinct digits" tell me, for some reason, that order matters.  The formula for the permutations of this is

₆P₃ = [tex]\frac{6!}{(6-3)!}[/tex] which simplifies to

[tex]\frac{6!}{3!}=\frac{6*5*4*3!}{3!}=120[/tex]

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