Math CentralQuandaries & 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.



About Math Central


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.
Quandaries & Queries page Home page University of Regina PIMS