6. Counting II

Inclusion-exclusion — Quiz

Test your understanding of inclusion-exclusion with 5 practice questions.

Practice Questions

Question 1

Which formula correctly gives the number of elements in $A\cup B$ for two sets $A$ and $B$?

Question 2

In a class, $18$ students like math, $14$ students like science, and $5$ like both. How many students like at least one of the two subjects?

Question 3

How many integers from $1$ to $30$ are divisible by $2$ or $3$?

Question 4

Which expression counts $|A\cup B\cup C|$ for three sets $A$, $B$, and $C$?

Question 5

A survey shows $25$ people like tea, $20$ like coffee, and $8$ like both. How many like exactly one of the two drinks?