15C3 = 455
3 items (or people) can line up in 6 different sequences. 6 items (or people) can line up in 720 different sequences.
5
8
you can arrange three beads 9 different ways.
6
3 items (or people) can line up in 6 different sequences. 6 items (or people) can line up in 720 different sequences.
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.
35,280
5
you can arrange 8 pictures 28 different ways
8 groups of 2 = 8 groups_of_2 × 2 items/group_of_2 = 16 items → 16 items ÷ 4 items/group_of_4 = 4 groups of 4.
You can arrange and rearrange the word as many times as you like!There are 5040 different ways.
8
you can arrange three beads 9 different ways.
Any 6 different items can be arranged in 6! (6 factorial) ways. 6! = 6 * 5 * 4 * 3 * 2 * 1 = 720.
10!
It is elementary division.