Question 1203879
.
<pre>

30 played S

14 played both

79 played S or B


For the union of two sets,  S (soccer) and B (basketball), we write

    n(S U B) = n(S) + n(B) - n(S and B)


and substitute there given quantities

      79     = 30   + n(B) - 14.


From this equation, we find the unknown amount

     n(B)    = 79 -30 + 14 = 63.


Thus the answer is: 63 students play basketball.
</pre>

Solved, with explanations.



---------------------



To see many other similar solved problems, &nbsp;look into 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.


Learn the subject &nbsp;(the basics) &nbsp;from there.