X. The Mathematics Club is preparing for year end team building and outing. There are 50 members from which the members of standing committees are taken. There are 8 members of Finance Committee, 5 are members of Program committee and 10 are members of planning committees. Also 4 are also members of Finance and Program, 8 are both members of Finance and Planning and 4 are also members of Program and Planning and 1 of whom was of whom is in Finance too. How many members are on exactly 2 committees?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.1: Counting
Problem 84E
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X. The Mathematics Club is preparing for year end team building and outing. There are 50
members from which the members of standing committees are taken. There are 8 members of
Finance Committee, 5 are members of Program committee and 10 are members of planning
committees. Also 4 are also members of Finance and Program, 8 are both members of Finance
and Planning and 4 are also members of Program and Planning and 1 of whom was of whom is
in Finance too. How many members are on exactly 2 committees?
Transcribed Image Text:X. The Mathematics Club is preparing for year end team building and outing. There are 50 members from which the members of standing committees are taken. There are 8 members of Finance Committee, 5 are members of Program committee and 10 are members of planning committees. Also 4 are also members of Finance and Program, 8 are both members of Finance and Planning and 4 are also members of Program and Planning and 1 of whom was of whom is in Finance too. How many members are on exactly 2 committees?
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