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There are 48 possibilities where 2 of 5 items must be adjacent.
If you have 5 items, and they can be arranged in any order, there are 120
5 x 4 x 3 x 2 ways to arrange them, for example ABCDE, ABCED, and so forth.
However, if any two need to be placed next to each other, the number of variations is reduced to [4 x 3 x 2] x2 (=48), where there are only 4 separate "units" arranged, but the double-unit can appear with either of the pair first.
For example, if A and B must be together, you have 24 possibilities:
(AB)CDE
(AB)CED
(AB)DCE
(AB)DEC
(AB)EDC
(AB)ECD
C(AB)DE
C(AB)ED
D(AB)CE
D(AB)EC
E(AB)CD
E(AB)DC
CD(AB)E
DC(AB)E
CE(AB)D
EC(AB)D
DE(AB)C
ED(AB)C
CDE(AB)
CED(AB)
DEC(AB)
DCE(AB)
EDC(AB)
ECD(AB)
and another 24 where (AB) is replaced by (BA).
What else can I help you with?
How many ways to arrange 5 items in a circle?
5
How many ways can you arrange or line up 3 different items and how many ways can you arrange 6 items?
3 items (or people) can line up in 6 different sequences. 6 items (or people) can line up in 720 different sequences.
How many ways to arrange 3 things?
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.
How many ways can you arrange eight items in pairs?
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.
How many different ways can you arrange 15 different items in groups of 3?
15C3 = 455
How many ways can you arrange 7 items?
35,280
How many ways to arrange 5 items in a circle?
5
How many ways can you arrange or line up 3 different items and how many ways can you arrange 6 items?
3 items (or people) can line up in 6 different sequences. 6 items (or people) can line up in 720 different sequences.
How many ways to arrange 3 things?
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.
How many ways can you arrange eight items in pairs?
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.
How many different ways can you arrange 15 different 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.
How many different ways can you arrange 15 different items in groups of 3?
15C3 = 455
How many of the five items listed below are exact duplicates of each other?
7362 7363
You are arranging 70 plants in a rectangular garden with the same in each row How many ways can you arrange the garden?
you are arranging 70 plants in a rectangular garden with the same number in each row how many ways can you arrange the garden
How many different ways can 3 items be arranged?
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 process of sharing a number of items to find how many groups can be made or how many items will be in each group?
It is elementary division.
How many bags will he use for 5 bundles if 9 in each bundle?
To find out how many bags he will use for 5 bundles with 9 items in each bundle, first calculate the total number of items: 5 bundles × 9 items/bundle = 45 items. If each bag can hold a specific number of items, divide the total items by the bag capacity to find out how many bags are needed. For example, if each bag holds 10 items, he would need 5 bags (45 items ÷ 10 items/bag = 4.5 bags, rounded up to 5).
