SOLUTION: of the 30 students in a class, 13 love swimming, 15 love paddle boarding and 7 like neither. a) how many students love both swimming and paddle boarding b) how many love swimmin

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Question 1113992: of the 30 students in a class, 13 love swimming, 15 love paddle boarding and 7 like neither.
a) how many students love both swimming and paddle boarding
b) how many love swimming but not paddle boarding
c) what is the probability of picking a student who loves paddle boarding, but not
Answer by ikleyn(52835)   (Show Source): You can put this solution on YOUR website!
.
of the 30 students in a class, 13 love swimming, 15 love paddle boarding and 7 like neither.
a) how many students love both swimming and paddle boarding
b) how many love swimming but not paddle boarding
c) what is the probability of picking a student who loves paddle boarding, but not
~~~~~~~~~~~~~~~ 

Since of the 30 students 7 like neither, it means that 30-7 = 23 like something (one of the two).


Therefore,


a)  how many students love both swimming and paddle boarding = (13+15) - 23 = 28-23 = 5.


b)  how many love swimming but not paddle boarding = 13 - 5 = 8.


c)  I can not answer c) because this question is uncompleted in your post.

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See the lesson
    - Counting elements in sub-sets of a given finite set
in this site.


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