Most software allows the questions on an exam to be re-ordred (or shuffled) for each student. Another feature is to randomly select some number of pre-made questions from a pool of questions. Consider a pool with 100 questions. Prof A creates a quiz with 10 random questions selected from the pool (100 questions). What is the number of quizzes – not containing the same set of questions – that can be created this way? Prof B creates a quiz by hand picking 10 questions from this pool – the same 10 for each student, but the questions are shuffled in different/distinct orders. What is the number of such quizzes? Remember to show your work that explains your answer. Show the steps on how to solve it

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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  1. Most software allows the questions on an exam to be re-ordred (or shuffled) for each student. Another feature is to randomly select some number of pre-made questions from a pool of questions. Consider a pool with 100 questions.
    • Prof A creates a quiz with 10 random questions selected from the pool (100 questions). What is the number of quizzes – not containing the same set of questions – that can be created this way?
    • Prof B creates a quiz by hand picking 10 questions from this pool – the same 10 for each student, but the questions are shuffled in different/distinct orders. What is the number of such quizzes?

Remember to show your work that explains your answer.

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