(iv) 11. In a group of 2 and 106 play tennis, 60 play and each of th (a) Illustrate (b) How man (i) all (ii) exa bo. (iii) exa gi (iv) foot

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ISBN:9781938168383
Author:Jay Abramson
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Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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Ansb 05
11. In a group of 240 students, 144 play football; 130 play table tennis
and 106 play hockey. If 20 of the students play both football and
tennis, 60 play football and hockey, 42 play both tennis and hockey
and each of the students play at least one of the three games.
(a) Illustrate the above information in a Venn diagram.
(b) How many play:
(i) all the three games?
(ii) exactly two of the three games?
(iii) exactly one of the three games?
g (iv) football only?
boa
15
Transcribed Image Text:poc. ) (AI) Ansb 05 11. In a group of 240 students, 144 play football; 130 play table tennis and 106 play hockey. If 20 of the students play both football and tennis, 60 play football and hockey, 42 play both tennis and hockey and each of the students play at least one of the three games. (a) Illustrate the above information in a Venn diagram. (b) How many play: (i) all the three games? (ii) exactly two of the three games? (iii) exactly one of the three games? g (iv) football only? boa 15
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