52. a. There are 100 members of the U.S. Senate. Suppose that 4 senators currently serve on a committee. In how many ways can 4 more senators be selected to serve on the committee? b. In how many ways can a group of 3 U.S. senators be selected from a group of 7 senators to fill the positions of chair, vice-chair, and secretary for the Ethics Committee?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 36RE: In a group of 5 freshman, 10 sophomores, 3 juniors, and 2 seniors, how many ways can a president,...
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52. a. There are 100 members of the U.S. Senate. Suppose
that 4 senators currently serve on a committee. In how
many ways can 4 more senators be selected to serve
on the committee?
b. In how many ways can a group of 3 U.S. senators
be selected from a group of 7 senators to fill the
positions of chair, vice-chair, and secretary for the
Ethics Committee?
Transcribed Image Text:52. a. There are 100 members of the U.S. Senate. Suppose that 4 senators currently serve on a committee. In how many ways can 4 more senators be selected to serve on the committee? b. In how many ways can a group of 3 U.S. senators be selected from a group of 7 senators to fill the positions of chair, vice-chair, and secretary for the Ethics Committee?
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