lets say I have a set of 2 numbers (1, and 2). I can arrange this set (including all possible amounts of numbers in the set) into 4 arrangements, 1, 2, 12, and 21.(adsbygoogle = window.adsbygoogle || []).push({});

For the set (1, 2, 3), I can arrange 15 different combinations of numbers contained in the set.

What about a set of 4 numbers? (1, 2, 3, 4)

What about a set of 5 numbers? (1, 2, 3, 4, 5)

Remeber I wish to count all possible combinations available within the set. e.g, 1, 2, 3, 4, 12, 21, 23, 32, 34, 43, 123, 321, 234, 432, 134, 431, .............1234, 1342, 1243, 4231, 4132, .........................

What is the formula for this?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Set arrangements

**Physics Forums | Science Articles, Homework Help, Discussion**