Question

(1 point) 10. An office manager needs to assign four offices to 12 visiting professors during the summer months. There is an office on the north side of the Math Sciences Building, as well as an office on the south, east and west-sides of the Math Sciences Building. Three professors will be assigned to each office. Of the 12 visiting professors: five are from Europe, three are from Canada, and tour are from the Middle East. If the assignment of offices is done randomly, (a) In how many different ways can the assignment of offices take place? 瓣 6se at least four agts arte, the decimal "nundng.) b) What is the probability that the three Canadians are assigned to office on the north side of the Math Sciences Building? (use at least four digits after the decimal if rounding...) (use at least four digits after the decimal if (c) What is the probability that two Europeans will be assigned to the south-side office and three Europeans will be assigned to the west-side office? rounding...) (d) What is the probability that all Canadian professors will be assigned to the same office? (Note: A simplified probability expression is sufficient for parts (b, c, and d).) (use at least four digits after

Answer 1