Inclusion-Exclusion Principle (2 Sets)

This Venn diagram shows the distribution of students who were asked if they are left-handed and if they entered the maths contest, based on their responses. How many students were surveyed in total?

Mathematical Equivalence

ON

This Venn diagram shows the distribution of students who were asked if they are left-handed and if they entered the maths contest, based on their responses. How many students entered the maths contest?

Mathematical Equivalence

ON

This Venn diagram shows the distribution of students who were asked if they are left-handed and if they entered the maths contest, based on their responses. How many students were left-handed and entered the maths contest?

Mathematical Equivalence

ON

This Venn diagram shows the distribution of students who were asked if they are left-handed and if they entered the maths contest, based on their responses. How many students were left-handed, entered the maths contest, or were in both categories?

Mathematical Equivalence

OFF

This Venn diagram shows the distribution of students who were asked if they are left-handed and if they entered the maths contest, based on their responses. How many students were left-handed and did not enter the maths contest?

Mathematical Equivalence

ON

Consider this Venn diagram. Determine |A|.

Mathematical Equivalence

ON

Consider this Venn diagram. Determine |B|.

Mathematical Equivalence

ON

Consider this Venn diagram. Determine |A ∩ B|.

Mathematical Equivalence

ON

Consider this Venn diagram. Using the inclusion-exclusion principle, determine |A ∪ B|.

Mathematical Equivalence

ON

Consider this Venn diagram. Determine |U|.

Mathematical Equivalence

ON