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 Math Central Quandaries & Queries
 Question from Larry: Using numbers 0-9, what are all the possible combinations of choosing 3 numbers regardless of order and no 3 numbers being used more than 2 times in the combination. So no 1,1,1, 2,2,2, 3,3,3 etc. Order does not matter. Could you please send me a listing of all those combinations?

Hi Larry,

You can use the Combinations and Permutations Calculator at Math Is Fun to list all the combinations. Set $n = 10, r = 3,$ set "Is order important?" to No and then in the "List Them:" box type 0,1,2,3,4,5,6,7,8,9. This will list all 220 combinations, including the ten you don't want. 111, 222, ... Print the list and delete the ten you don't want.

Penny

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