How many ways can 5 people line up in a row for a photograph?

Five people can line up in 5! = 120 ways.

How many ways can five persons be arranged in a row for picture taking if three of them insist on sitting next to one another?

= 5*4*3*2*1 = 120.

How many ways may these same people line up if two of the people refuse to stand next to each other?

Candidates are lined up on stage behind podiums facing the audience. If two of the candidates refuse to be positioned next to each other, the candidates can be arranged in 480 different ways.

How many different ways can 5 students line up to purchase a new textbook readers?

That’s 5! So, there are 120 ways to arrange five books on a bookshelf.

How many ways can 5 people line up at a checkout?

So the total number of different orderings for the 1st, 2nd and 3rd people combined would be 5*4*3 = 60.

How many ways can five people line up in 5?

Five people can line up in 5! = 120 ways. However, if 2 persons insist on being next to each other, they can so in 2 ways, since one of them can be either left or right of the other. We can then treat them as one unit that can be arranged in 2! ways.

How many ways can two persons be lined up next to each other?

However, if 2 persons insist on being next to each other, they can so in 2 ways, since one of them can be either left or right of the other. We can then treat them as one unit that can be arranged in 2! ways. This unit of 2 persons and the other 3 persons can then be lined up in 2! * (1+3)! = 2 * 24 = 48 ways.

How many entities can line up in 24 different ways?

The two people who refuse to follow each other must stand next to each other. So there are effectively four entities. These four entities can line up in 24 different ways (4x3x2x1). 8 clever moves when you have $1,000 in the bank. We’ve put together a list of 8 money apps to get you on the path towards a bright financial future.

How many people have to be selected from every group?

A minimum of one people has to be selected from every group. The number of people selected from the first group has to be at least one more than the number of people selected from the third group. The task is to find the number of ways of forming distinct groups.