5 X 4 X 3 X 2 X 1 = 120 ways
120
If you care how they line up when they stand together, then five people can be chosenand lined up in (20 x 19 x 18 x 17 x 16) = 1,860,480ways. Those are permutaions.If it doesn't matter how they line up, and you only want the number of different groupsof five people, then there are 1,860,480/(5 x 4 x 3 x 2) = 15,504 different groups of five.(That's because the same five people can line up in (5 x 4 x 3 x 2) = 120 different ways.)Those are combinations.
5!
3 items (or people) can line up in 6 different sequences. 6 items (or people) can line up in 720 different sequences.
720
Assuming you mean the order in which they stand in a line, this is simple combination of three from three, and there are six possible combinations:ABCACBBACBCACABCBA
27!
302 i think not to sure though
8x4=32
6 ways. 3 x 2 x 1 = 6
Ana, Bill, and Charles can line up for a photograph in different arrangements. The number of ways to arrange three people is given by the factorial of the number of people, which is 3! (3 factorial). This equals 3 × 2 × 1 = 6. Therefore, they can line up in 6 different ways.
I'm pretty sure you can just do 8! which is 40320 different ways.