Question 1049693
.
1. In a class of 30 students, 20 students like mathematics, 14 students like computer science, 6 students like neither. 
How many students like both mathematics and computer science?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


<pre>
20 + 14 - x = 30-6,

34 - x = 24,

x = 34 - 24 = 10.

<U>Answer</U>.  10 students like both mathematics and computer science.
</pre>

For details see the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/misc/Counting-elements-in-sub-sets-of-a-given-finite-set.lesson>Counting elements in sub-sets of a given finite set</A>

in this site.