Some Manipulative Counting

Probability Level 3

Let there be a discrete set $U$ , such that $n(U) = 2017$ , with subsets $A$ , $B$ and $C$ , such that

How many elements of $U$ exist outside $A \cup B \cup C$ ?

1 solution

Efren Medallo
Jun 10, 2017

This problem will be easier when visualized.

Based on the figure above, we are looking for $h$ .

Subtracting the first two equations, we get

$d + e = 596$ .

Subtracting this from the third equation, we will get

$h = 246$ .