Sets, Venn diagrams and set algebra

Question 1 of 10

A′ is the

Question 2 of 10

A set has 5 elements. How many subsets does it have?

Question 3 of 10

In a class of 37 students, 22 study French, 19 study Music and 11 study both. (a) Draw a Venn diagram. (b) Find the number who study French only. (c) Find the number who study neither subject.

Question 4 of 10

A set with 7 elements has ___ subsets.

Question 5 of 10

(A′)′ = A.

Question 6 of 10

n(A) = 15, n(B) = 10, n(A ∩ B) = 5. How many elements are in A only?

Question 7 of 10

The union of two disjoint sets has n(A) + n(B) elements.

Question 8 of 10

n(U) = 100, n(A) = 12, n(B) = 14 and n(A ∩ B) = 10. How many elements are in neither A nor B?

Question 9 of 10

In a class of 39 students, 18 study French, 25 study Music and 12 study both. (a) Draw a Venn diagram. (b) Find the number who study French only. (c) Find the number who study neither subject.

Question 10 of 10

If n(A ∩ B) = 0 the sets are equivalent.