2007 AMC 8 Problems/Problem 13
Problem
Sets and
, shown in the Venn diagram, have the same number of elements.
Their union has
elements and their intersection has
elements. Find
the number of elements in
.
![AMC8 2007 13.png](https://wiki-images.artofproblemsolving.com//0/0f/AMC8_2007_13.png)
Solution
Let be the number of elements in
and
.
Since the union is the sum of all elements in and
,
and and
have the same number of elements then,
.
The answer is
See Also
2007 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 12 |
Followed by Problem 14 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AJHSME/AMC 8 Problems and Solutions |