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In a class of 30 students, 20 take mathematics, 17 take physics and 2take none of the two subjects. How many students take both subjects?​

 Sep 9, 2021
 #1
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Here is a Venn:

 

 Sep 9, 2021
 #2
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Of the  30  students,  2  do not take either subject; subtracting these 2 students leaves a total of 28 students.

 

Of these  17  take physics and  20  take math; adding these numbers together, we get 35.

 

Therefore,  35 - 28  =  7  students; these  7  students take both classes.

 Sep 9, 2021

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