# Pairs

At the table sit 10 people, 5 on one side and 5 on the other side. Among them are 3 pairs. Every pair wants to sit opposite each other.

How many ways can they sit?

Correct result:

n =  11520

#### Solution:

$n=\left(2\cdot 5\right)\cdot \left(2\cdot 4\right)\cdot \left(2\cdot 3\right)\cdot \left(10-2\cdot 3\right)!=11520$

We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you!

Showing 1 comment:
Math student
super dude

Tips to related online calculators
Would you like to compute count of combinations?

## Next similar math problems:

• Friends in cinema
5 friends went to the cinema. How many possible ways can sit in a row, if one of them wants to sit in the middle and the remaining's place does not matter?
• Seating
How many ways can 6 people sit on 6 numbered chairs (e. G. , seat reservation on the train)?
• Phone numbers
How many 7-digit telephone numbers can be compiled from the digits 0,1,2,..,8,9 that no digit is repeated?
• Math logic
There are 20 children in the group, each two children have a different name. Alena and John are among them. How many ways can we choose 8 children to be among the selected A) was John B) was John and Alena C) at least one was Alena, John D) maximum one wa
• Vans
In how many ways can 9 shuttle vans line up at the airport?
• Kids
How many different ways can sit 8 boys and 3 girls in line, if girls want to sit on the edge?
• Desks
A class has 20 students. The classroom consists of 20 desks, with 4 desks in each of 5 different rows. Amy, Bob, Chloe, and David are all friends, and would like to sit in the same row. How many possible seating arrangements are there such that Amy, Bob,
• Five letters
How many ways can five letters be arranged?
• Trainings
The table contains tennis training schedule for Saturday's younger students during the winter indoor season. Before the start of the summer season is preparing a new training schedule. Tomas Kucera will be able to practice only in the morning, sisters Kov
• Prize
How many ways can be rewarded 9 participants with the first, second and third prize in a sports competition?
• Combinations of sweaters
I have 4 sweaters two are white, 1 red and 1 green. How many ways can this done?
• Here is
Here is a data set (n=117) that has been sorted. 10.4 12.2 14.3 15.3 17.1 17.8 18 18.6 19.1 19.9 19.9 20.3 20.6 20.7 20.7 21.2 21.3 22 22.1 22.3 22.8 23 23 23.1 23.5 24.1 24.1 24.4 24.5 24.8 24.9 25.4 25.4 25.5 25.7 25.9 26 26.1 26.2 26.7 26.8 27.5 27.6 2
• Big numbers
How many natural numbers less than 10 to the sixth can be written in numbers: a) 9.8.7 b) 9.8.0
• Guests
How many ways can 7 guests sit down on 8 seats standing in a row?
• Seating rules
In a class are 24 seats but in 7.B class are only 18 students. How many ways can student seat? (The class has 12 benches. A bench is for a pair of students.) Result (large number) logarithm and thus write down as powers of 10.
• Divide
How many different ways can three people divide 7 pears and 5 apples?
• Lunch
Seven classmates go every day for lunch. If they always come to the front in a different order, will be enough school year to take of all the possibilities?