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6. Hans has 12 good friends, five of them male and seven of them female. He decides to have a

dinner party but can invite only seven because his dining room table will seat only eight
people. He decides to invite his guests by lot. What is the probability that:
a. There will be four males and four females at the party?
b. Rivka will be among those invited?
c. Hans will have only female guest

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