- #1

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I have a problem relating to combinations and permutations.In how many ways can I divide a deck of 52 cards into piles of 3 with each pile containing any number?

for example 50,1,1 or 45,6,1

Thanks in advance

- Thread starter Baron
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- #1

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I have a problem relating to combinations and permutations.In how many ways can I divide a deck of 52 cards into piles of 3 with each pile containing any number?

for example 50,1,1 or 45,6,1

Thanks in advance

- #2

mathman

Science Advisor

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Step 1, choose a number (k) for the first pile. There are now 52-k left for the other two piles. Assuming 0 is allowed, there are 52-k ways to split up these cards. Now just add them up for k ranging from 0 to 52. It will sum to 52x53/2.

If 0 is not allowed, the procedure is the same, just omit the cases where any pile has 0.

- #3

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Thanks,0 is not allowed

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- #5

mathman

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