SOLUTION: If order is important, how many 2-card hands are possible using a standard 52-card deck?

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Question 880787: If order is important, how many 2-card hands are possible using a
standard 52-card deck?

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
There are 52 ways to pick the card that is to be called CARD NUMBER ONE.

For each of those 52 ways to pick CARD NUMBER ONE, there will always be 51 cards
remaining to pick to be called "CARD NUMBER TWO".

Answer 52×51 = 2652 2-card hands if order is important.

[Normally we don't distinguish between a 2-card hand consisting of
"3 of spades first and jack of diamonds second" and "jack of diamonds first
and 3 of spades second", but in this problem we have to.  When we do consider
them different, we call them "separate permutations", and when we consider them
the same, we call them both "the same combination".  There are usually not nearly
as many combinations as there are permutations.]. 

Edwin
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