The business majors at Metropolitan University can be broken down as follows:

(a) We have randomly selected four students to attend a regional conference.
What is the probability that we have a representative from each major?

(b) We have randomly selected four students to attend a regional conference.
What is the probability that we have a female student from each department?

(c) The dean has randomly selected a student from each department to attend a regional conference. What is the probability that all four students selected are females?

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Major Accounting Finance Marketing Management Total Male 200 400 200 200 1,000 Female 400 250 250 100 1,000 Total 600 650 450 300 2,000