5 members from the math department, 5 members from the biology department, 5 members from the English department, 5 members from the history department, and 5 members from the physics department have declared themselves candidates for three vacant faculty senate seats. If the three seats must be filled by three members from three different departments, in how many ways can the vacant seats be filled?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 2T: A hospital cafeteria offers a fixed-price lunch consisting of a main course, a dessert and a drink....
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5 members from the math department, 5 members from the biology department, 5 members from the English department, 5 members from the history department, and 5 members from the physics department have declared themselves candidates for three vacant faculty senate seats. If the three seats must be filled by three members from three different departments, in how many ways can the vacant seats be filled?
 
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