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  • 09-05-2016
  • Mathematics
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in how many ways could you choose two diffirent letters from the letters C,O,U,N,T

Respuesta :

AL2006
AL2006 AL2006
  • 09-05-2016
The first one you choose could be any one of the 5 letters.
             For each of them ...
The second one can be any one of the remaining 4 letters.

Total ways to pick out 2 letters = (5 x 4) = 20 .

BUT ...

There are two ways to pick each different pair of letters.
You could pick C-N or pick N-C, and you'd have the same pair
either way.

So, although there are 20 different ways to pick two  letters, there
are only (20/2) = 10 different pairs of letters you can end up with.
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