Question

6. a) Show that if there are 30 students in a class, then at least two have last names that begin with the same letter. (3 points) b) How many possibilities are there for the first, second, and third positions in a horse race with 12 horses if all orders of finish are possible? (3 points) c) Suppose that there are 9 faculty members in the mathematics department and 10 in the computer science department. How many ways are there to select a committee to develop a discrete mathematics course at a school if the committee is to consist of three faculty members from the mathematics department and four from the computer science department? (4 points)

          6. a) Show that if there are 30 students in a class, then at least two have last names that begin with the same letter. (3 points)
b) How many possibilities are there for the first, second, and third positions in a horse race with 12 horses if all orders of finish are possible? (3 points)
c) Suppose that there are 9 faculty members in the mathematics department and 10 in the computer science department. How many ways are there to select a committee to develop a discrete mathematics course at a school if the committee is to consist of three faculty members from the mathematics department and four from the computer science department? (4 points)

6. a) Show that if there are 30 students in a class, then at least two have last names that begin with the same letter. (3 points)
b) How many possibilities are there for the first, second, and third positions in a horse race with 12 horses if all orders of finish are possible? (3 points)
c) Suppose that there are 9 faculty members in the mathematics department and 10 in the computer science department. How many ways are there to select a committee to develop a discrete mathematics course at a school if the committee is to consist of three faculty members from the mathematics department and four from the computer science department? (4 points)

Added by Brandon B.

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