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In a class of 30 students:

* 16 students take biology

* 10 students take history

* 12 students take science

* 4 students take biology and history

* 8 students take biology and science

* 3 students take history and science

* 1 student takes biology, history, and science

 

How many students do not take any of biology, history, or science?

 Jan 9, 2021
 #1
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See  my following (crummy) graph

 

Let  the top left circle  be  History

The top right Biology

The bottom Science

 

We have 21  students  taking one  (or more ) of the  three courses

 

So

 

30 - 21  =  9    who do not take any of them

 

 

 

cool cool cool

 Jan 9, 2021

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