SOLUTION: Naoko found a deck of cards that had been dropped onto the floor. She picked up at least 1 card. She may have pick up 1, all 52, or any number in between. How many possible combina
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Question 524688: Naoko found a deck of cards that had been dropped onto the floor. She picked up at least 1 card. She may have pick up 1, all 52, or any number in between. How many possible combinations are there for what she picked up?
Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Naoko found a deck of cards that had been dropped onto the floor. She picked up at least 1 card. She may have pick up 1, all 52, or any number in between. How many possible combinations are there for what she picked up?
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Each card is either picked up or not picked up:
That gives 2^52 combinations including the empty combination.
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So there are 2^52 - 1 combination that contains at least 1 card.
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Cheers,
Stan H.
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Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
A bunch.
)
Where )
is the number of combinations of 
things taken 
at a time and is calculated by !})
You can save yourself half the work by using symmetry:
)
Also, in Excel (on the PC) or Numbers (on a Mac) the formula
)
yields
just fill in the numbers for 
and 
that you need.
John
My calculator said it, I believe it, that settles it
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