A) the Rhineland pastry chain will open a new branch in Osorno; So far they have 10 applicants for the three work areas: cashier, packer and cleaning staff. How many ways can they be hired to fill the...

A) the Rhineland pastry chain will open a new branch in Osorno; So far they have 10 applicants for the three work areas: cashier, packer and cleaning staff. How many ways can they be hired to fill the three different jobs?

B) In an exam, students must answer 9 questions out of a total of 12 and must include exactly 5 of the first 6 in how many ways can they solve the exam?

C) in osorno a trip to viña del mar is raffled among the 120 best clients of yogi market. of them, 65 are women, 80 are married and 45 are married women, it is requested:
1) What will be the probability that a married man will have to travel?
2) if the lucky person knows that he is married. What is the probability that he is a woman?