At a university, a dean is going to select 8 volunteers to serve on a committee. There are 9 volunteers from the School of Humanities and 8 volunteers from the School of Arts and Sciences. (a) In how many ways can the dean select 8 volunteers if the number of volunteers from the School of Arts and Sciences must be less than or equal to 2? (b) In how many ways can the dean select 8 volunteers if the number of volunteers from the School of Arts and Sciences must be greater than 2?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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At a university, a dean is going to select 8 volunteers to serve on a committee. There are 9 volunteers from the School of Humanities and 8 volunteers from the
School of Arts and Sciences.
(a) In how many ways can the dean select 8 volunteers if the number of volunteers from the
School of Arts and Sciences must be less than or equal to 2?
(b) In how many ways can the dean select 8 volunteers if the number of volunteers from the
School of Arts and Sciences must be greater than 2?
Transcribed Image Text:At a university, a dean is going to select 8 volunteers to serve on a committee. There are 9 volunteers from the School of Humanities and 8 volunteers from the School of Arts and Sciences. (a) In how many ways can the dean select 8 volunteers if the number of volunteers from the School of Arts and Sciences must be less than or equal to 2? (b) In how many ways can the dean select 8 volunteers if the number of volunteers from the School of Arts and Sciences must be greater than 2?
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