15C3 = 455
3 items (or people) can line up in 6 different sequences. 6 items (or people) can line up in 720 different sequences.
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.
To arrange eight items in pairs, you first choose 2 items from the 8, then 2 from the remaining 6, and so on. The number of ways to arrange these pairs can be calculated using the formula for pairing, which is given by ( \frac{8!}{(2^4)(4!)} ). This accounts for the fact that the order of the pairs themselves does not matter. The final result gives you 105 ways to arrange the eight items into four pairs.
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
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.
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!