(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?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 74E: Lottery Powerball is a lottery game that is operated by the Multi-State Lottery Association and is...
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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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