Consider the universal set U and the sets X, Y, Z. U={1,2,3,4,5,6} X={1,4,5} Y={1,2} Z={2,3,5} What is (Z⋃X′)⋂Y?
beks73 [17]
X' = U - X
= {1,2,3,4,5,6} - {1,4,5}
= {2,3,6}
(ZUX') = {2,3,5} U {2,3,6}
= {2,3,5,6}
(Z⋃X′)⋂Y = {2,3,5,6} ⋂ {1,2}
= {2}
Five kids can be given cookies in (10 + 5 - 1) C (5 - 1) = 14 C 4 = 1,001 ways.
Answer:
15
Step-by-step explanation:

Hannah surveyed 1/9th of the population.
The sample wouldn't really be representative of the population, because of the
small sample size.
Based on the table, you could expect around 60% of the students to own a cat or a dog. This is because there are 30 students with a pet, and 20 without, which makes a percentage of 60% students that own a pet.