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There are 74,974,368 combinations.

  • There are 59C6 = 45,057,474 combinations with 6 different numbers.
  • There are 59C5 = 5,006,386 combinations with 5 different numbers. One of these needs to be duplicated and the one to be duplicated can be chosen in one of 5 ways so there are 25,031,930 of these.
  • There are 59C4 = 455,126 combinations with 4 different numbers. Either one of them appears three times or two are doubled. That can be done in 10 ways so there are 4,551,260 of these.
  • There are 59C3 = 32,509 combinations with 3 different numbers. Either one of them appears 4 times, or one twice and another three times, or all three appear twice. That can be done in 10 ways so there are 325,090 of these.
  • There are 59C2 = 1,711 combinations with 2 different numbers. Either one of them appears 5 times, or one twice and another four times, or both three times. That can be done in 5 ways so there are 8,555 of these.
  • There are 59C1 = 59 combinations with just 1 number, repeated six times so there are 59 of these.

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Q: How many combinations can be made using 6 digits 1-59 number can repeat?
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