Backwards: Yes, three permutations of the same combination 2^100 is 2 to the 100th power But here's where I messed up... as you and Bill point out, 2^100th is still a really big number. 2^10th is 1000, so every 10 more means multiply by 1000. SO 2^10th is NOT 1000^2, it is 1000^10, or 1E+30, or the number you got from your calculator. Yukko. Joe > From: Dan Bale > > > > Factorials are permutations. Combinations are "far smaller", relatively > > speaking. The number of possible combinations of N elements is 2^N, or > > in the case of 100 elements, about a million possibilities. > > Darn it dude! I knew this stuff in the last millenium, but my brain > turned fuzzy tutoring my kids through 8th grade math! > > So, forgive my ignorance, but what is 2^N? In the example above, is it > 2^100, or 2 to the 100th power? Windows calculator has a x^y button and > when I type 2 [x^y] 100 [=], I get > 1,267,650,600,228,229,401,496,703,205,376. > > Does the following represent 3 permutations but only 1 combination? > a) 1, 5, 8 > b) 5, 1, 8 > c) 8, 5, 1
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