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:

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combinatoricsbasic operations and conceptsGrade of the word problem

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