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The new bridge-building will house 20 Statisticians 15 Computer Scientists and 10 Data Scientists The second floor will have 8 offices one person per office

The new bridge-building will house 20 Statisticians 15 Computer Scientists and 10 Data Scientists The second floor will have 8 offices one person per office and people will be randomly assigned to offices 

a. Find the probability that there are exactly 3 statisticians on the second floor?

b. Find the probability that the second floor has at least one representative from each group?

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