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In how many ways could you choose two diffirent letters from the letters C,O,U,N,T

1 Answer

3 votes
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.
User ToTheMax
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