In a school of 1070 students, 530 are girls (G), 900 can swim (S) and 120 are left-handed (L). Furthermore, there are 410 girls who can swim, 40 left-handed students who can swim, 80 girls who are left-handed and 10 left-handed girls who can swim. a) Copy the Venn diagram below to your answer book and represent the above information in the Venn diagram Ω G 1 b) How many of the members neither can swim nor are left-handed? c) Copy the Venn diagram and shade the region: (SNG)U(LNS). d) Suppose we further want to divide the school into three groups of mutually exclusive sets A=Girls who cant swim nor are left handed, B=students who are not girls nor are left handed, and C= Students who are left handed but not girls nor can swim. Write down the counting rule formulae to use to calculate this?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.1: Sets And Geometry
Problem 20E: What relationship subset, intersect, disjoint, or equivalent can be used to characterize the two...
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Question 1-
In a school of 1070 students, 530 are girls (G), 900 can swim (S) and 120 are left-handed (L). Furthermore,
there are 410 girls who can swim, 40 left-handed students who can swim, 80 girls who are left-handed and 10
left-handed girls who can swim.
a) Copy the Venn diagram below to your answer book and represent the above information in the Venn
diagram
Ω
G
1
b) How many of the members neither can swim nor are left-handed?
c) Copy the Venn diagram and shade the region: (SNG)U(LNS).
d) Suppose we further want to divide the school into three groups of mutually exclusive sets A=Girls who
cant swim nor are left handed, B=students who are not girls nor are left handed, and C= Students who
are left handed but not girls nor can swim. Write down the counting rule formulae to use to calculate
this?
Transcribed Image Text:Question 1- In a school of 1070 students, 530 are girls (G), 900 can swim (S) and 120 are left-handed (L). Furthermore, there are 410 girls who can swim, 40 left-handed students who can swim, 80 girls who are left-handed and 10 left-handed girls who can swim. a) Copy the Venn diagram below to your answer book and represent the above information in the Venn diagram Ω G 1 b) How many of the members neither can swim nor are left-handed? c) Copy the Venn diagram and shade the region: (SNG)U(LNS). d) Suppose we further want to divide the school into three groups of mutually exclusive sets A=Girls who cant swim nor are left handed, B=students who are not girls nor are left handed, and C= Students who are left handed but not girls nor can swim. Write down the counting rule formulae to use to calculate this?
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