SOLUTION: How many different groups of 5 can be made using the numbers 1 through 52

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Question 697982: How many different groups of 5 can be made using the numbers 1 through 52
Found 2 solutions by strawberrygirl183, Alan3354:
Answer by strawberrygirl183(35) About Me  (Show Source):
You can put this solution on YOUR website!
you can only do 10 complete groups and there will be 2 left

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
How many different groups of 5 can be made using the numbers 1 through 52
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If repetition is allowed, ie, 1, 1, 1, 1, 1 then it's 52^5
= 380,204,032
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If there is no repetition:
The 1st choice is 1 of 52
then 1 of 51, 50, etc
--> 52*51*50*49*48
= 311,875,200
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If the order is not relevant, ie, if
1, 2, 3, 4, 5 is considered to be the same as 1, 2, 3, 5, 4 then divide by
5! = 120
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--> 2,598,960