Answer:
This question does not have a single possible answer, as it depends on whether the different personalities are antagonistic or complementary to define whether it is easy or difficult for people with these personalities to work together.
Thus, for example, if one person is irascible and the other is calm and understanding, most likely both personalities complement each other without problems and can work together. On the other hand, if a person with a haughty and arrogant personality is added to the irascible personality, it is most likely that both will give each other negative feedback, making it almost impossible to work together.