# Quick Answer: How Many Ways Can 5 Paintings Be Lined Up On A Wall?

## How many ways can you arrange 5 pictures on a wall?

5! (7−5)! So there are a total 21 ways of selecting 5 pictures.

## How many ways can 3 paintings be lined up on a wall?

To find the number of ways to select 3 of the 4 paintings, disregarding the order of the paintings, divide the number of permutations by the number of ways to order 3 paintings. There are 3! =3⋅2⋅1=6. = 3 ⋅ 2 ⋅ 1 = 6 ways to order 3 paintings.

## How many ways can 5 Arrange?

Note that your choice of 5 objects can take any order whatsoever, because your choice each time can be any of the remaining objects. So we say that there are 5 factorial = 5! = 5x4x3x2x1 = 120 ways to arrange five objects.

## How many ways can 5 tables be arranged in a row?

Answer: If the symmetry of the table is not taken into account the number of possibilities is 5! = 120. In this case it would be the same as ordering people on a line. However if rotation symmetry is taken into account, there are five ways for people to sit at the table which are just rotations of each other.

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## How many ways can six bicycles be parked in a row?

6 bicycles can be parked in a row in 6! = 720 ways.

## What is nCr formula?

The combinations formula is: nCr = n! / ((n – r)! r!) n = the number of items.

## How many different meals are possible?

Since you make independent choices, simply multiply the number of options for each course together, which gives 4×8×3= 96. As JWeissman states, the total number of three course meals, assuming each includes one starter, one main, and one dessert, would be 4⋅8⋅3=96. This uses the fundamental principle of counting.

## How many ways can 4 things be arranged?

(Another example: 4 things can be placed in 4! = 4 × 3 × 2 × 1 = 24 different ways, try it for yourself!)

## How many ways can you order 10 things?

There are 3,628,800 ways to arrange those letters.

## What is nPr formula?

FAQs on nPr Formula The nPr formula is used to find the number of ways in which r different things can be selected and arranged out of n different things. This is also known as the permutations formula. The nPr formula is, P(n, r) = n! / (n−r)!.

## How many ways can 6 people sit in a 5 seater round table?

Example 1 In how many ways can 6 people be seated at a round table? Solution As discussed in the lesson, the number of ways will be (6 – 1)!, or 120. (i) A and B always sit together. (ii) C and D never sit together.

## How many ways can 6 students be seated in a row?

There are 720 ways to seat 6 people in a row.

## How many ways can 3 people sit in a round table?

So there are two answers: There are 3! = 6 different ways of placing these three people in three distinct chairs. However, it we decide to consider rotated arrangements as basically the same, then there are only 2 ways.