(8) A certain student organization has 14 members - 4 graduate students and 10 un- dergraduates. A committee of 7 is to be formed from these members consisting of 5 undergraduate students and 2 graduate students serving as advisors. How many distinct committees of this type can be formed?

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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(8) A certain student organization has 14 members - 4 graduate students and 10 un-
dergraduates. A committee of 7 is to be formed from these members consisting of
5 undergraduate students and 2 graduate students serving as advisors. How many
distinct committees of this type can be formed?
(9) Suppose a lottery game is played where the player chooses a three digit number
(repetition allowed) and then a three digit number is chosen at random. If the chosen
number matches the player's number in the correct order the player wins $750. If
each ticket costs $1, what is the expected value of purchasing a lottery ticket?
Transcribed Image Text:5 (8) A certain student organization has 14 members - 4 graduate students and 10 un- dergraduates. A committee of 7 is to be formed from these members consisting of 5 undergraduate students and 2 graduate students serving as advisors. How many distinct committees of this type can be formed? (9) Suppose a lottery game is played where the player chooses a three digit number (repetition allowed) and then a three digit number is chosen at random. If the chosen number matches the player's number in the correct order the player wins $750. If each ticket costs $1, what is the expected value of purchasing a lottery ticket?
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