###### Asked in Probability

Probability

# How many ways can 5 people sit in a row if two of them insist on not sitting together 72?

## Answer

###### Wiki User

###### June 25, 2017 7:39PM

72 is correct.

## Related Questions

###### Asked in Probability

### How many ways can 5 people sit in a row if 2 of them insist on not sitting together?

The first thing to do is to work out how many ways there are
without those 2 people minding. There are 5 possibilities for first
place, 4 for second and so on, so the number of ways is 5x4x3x2x1 =
120.
The next step is to work out how many of these possibilities
have the two people sitting next to each other. There are 4 ways in
which two people can sit next to each other. For each of these ways
there are two possibilities, one with one person on the right, and
the other with them on the left. For each of these 8 ways, there
are 3x2x1=6 ways the other people could have sat. So there are
8x6=48 invalid ways in total.
120-48 = 72
So there are 72 ways 5 people can sit in a row if 2 of them
insist on not sitting together.

###### Asked in Probability

### How many ways can 5 people sit in a row if two of them insist on sitting together?

(If they wouldn't want to sit together the answer would be 5!
(120) but since there is a pair, we can count them as one person.
So, my guess is that the answer is 4! (24))
The person who wrote this answer thought correctly that we need
to consider the two person as if they are one so the answer is 4! ,
but still those two person can switch places between themselves so
the correct answer should be 4! * 2! = 48

###### Asked in Relationships, Food & Cooking

### Why does food bring us together?

People have meals together. It can be a social occasion. Most
social occasions involve food. Many of those involve us formally
sitting down together to have a meal at a table, giving us a chance
to talk.
Food can bring people together in other ways, such as those
preparing it for the meal, or creating or growing the food.

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### Do vampires insist?

###### Asked in Population

### How many people live together?

###### Asked in History of Ireland, Holidays and Traditions, Christmas, Birthdays

### Why do people eat turkey at Christmas?

The turkey might represent something to do with Christmas
ANSWER 2:
Christmas is traditionally a time when families gather together
and the turkey is a big bird that can feed a large number of people
at one sitting. Not everyone eats turkey at Christmas but, whatever
is cooked, it will be large enough to feed many people.