3 items (or people) can line up in 6 different sequences.
6 items (or people) can line up in 720 different sequences.
15C3 = 455
If you keep them in a line, there are 24 ways to line them up. Then of course there are squares, diamonds, rectangles, parallelograms, stacks, etc.
To arrange 3 distinct items, you can use the factorial of the number of items, which is calculated as 3! (3 factorial). This equals 3 × 2 × 1 = 6. Therefore, there are 6 different ways to arrange 3 distinct things.
5
Three items can be arranged in (3!) (3 factorial) ways, which is calculated as (3 \times 2 \times 1 = 6). Therefore, there are 6 different ways to arrange 3 items. These arrangements can be represented as permutations of the items.
The number of different ways that you can arrange 15 different items is given by the permutations of 15 things taken 15 at a time. That is 15 factorial, or 1,307,674,368,000.
15C3 = 455
If you keep them in a line, there are 24 ways to line them up. Then of course there are squares, diamonds, rectangles, parallelograms, stacks, etc.
35,280
24
24 different ways.
5
Three items can be arranged in (3!) (3 factorial) ways, which is calculated as (3 \times 2 \times 1 = 6). Therefore, there are 6 different ways to arrange 3 items. These arrangements can be represented as permutations of the items.
That would be 5x4x3x2x1 or 5! or 120 ways to arrange those objects in a line.
If all nine items are included in every arrangement, like 9 bookson a shelf with no spaces, then there are "9 factorial" =9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 = 362,880 different ways to line them up.
you can arrange 8 pictures 28 different ways
6! = 720