I am stuck with this question,
In a group of 50 theatrical performers, we have 23 singers, 20 actors and 25 dancers. There are some managers who cannot perform on stage. 11 people can sing and act. 8 people can dance and act. 8 people can sing and dance. 6 people can write poetry. All poets are dancers, but 2 of them can act too. 4 people can direct plays. All directors are actors, but 2 can sing too. 5 people can sing, act and dance. Find the number of managers. How many people can only act?
The problem is somehow similar to this one but when I added up all the performer they came out to be 63 but the total team consists of 50. Is there anything wrong with my solution? Please help me out. Thanks