Assembling teams
As you know, at the beginning of the school year new students go on adaptation courses. In one class they divided themselves into two unequally sized groups. The larger one decided to play football, the smaller one had in mind to play basketball. It was exactly in this smaller group that an unexpected problem arose with the division into teams. There were in fact two pairs of twins. The first of them, Matej and Kuba, definitely wanted to play together, while the second pair, Honza and Jirka, on the contrary definitely did not want to play together. In how many different ways can you put together two five-member teams so that Matej, Kuba, Jirka and Honza are satisfied?
Final Answer:

Tips for related online calculators
Would you like to compute the count of combinations?
See also our permutations calculator.
See also our variations calculator.
See also our permutations calculator.
See also our variations calculator.
You need to know the following knowledge to solve this word math problem:
combinatoricsbasic operations and conceptsGrade of the word problem
Related math problems and questions:
- Eight-member team
We play a golf tournament where 4 pairs from team A will always play against 4 pairs from team B. Each team thus has in total 8 members. We tried to find out how many possible combinations there are of 4 playing groups, where in each there are 2 pairs – f - The mowers
The mowers were to mow two meadows, one twice as big as the other. They divided into two equal groups in the first half of the day. One continued to mow a larger meadow and cut it all by the end of the day. The second group mowed a smaller meadow but did - Merry feet
On the planet Merry Feet every man has his left foot 2 sizes larger than his right; women have their left 1 size larger. Shoes are sold there in pairs of the same size. Friends wanted to save money so they bought shoes together, when each of them chose on - Soccer teams
Have to organize soccer teams. There are three age groups. How many different ways can you organize ten teams for each age group? Is this a permutation or combination? - Tournament
How many matches will be played in a football tournament in which there are two groups of 5 teams if one match is played in groups with each other and the group winners play a match for the tournament's overall winner? - There
There are 24 students in the class. The math class is divided into two groups of 12 students on Friday. The table shows the results of pupil assessment in the two groups. Three students in the first group had worse grades than those in the second group. T - Tennis tournament
Eight tennis players took part in the tennis tournament. They were divided into two groups of four. In each group, everyone played each other once. The winner of the first group played the winner of the second group in the final. They did not play other m
