Assignment:
Q1. Given the following sets, select the statement below that is true.
A = {r, i, s, k, e, d}, B = {r, i, s, e}, C = {s, i, r}
B ⊆ A and A ⊂ B
C ⊂ A and B ⊂ C
A ⊆ C and B ⊂ A
C ⊆ B and B ⊆ A
B ⊆ C and C ⊂ A
Q2. Without writing them all out, what is the number of subsets of set B = {12, 14, 16, 18, 20, 22, 24}?
Q3. A Las Vegas casino surveyed 150 gamblers. The results are as follows: 57 played poker 72 played blackjack 23 played both. Construct a Venn diagram and answer the following questions:
i. How many played only poker?
ii. How many played only blackjack?
iii. How many played either one or the other or both?
iv. How many played neither?
Provide complete and step by step solution for the question and show calculations and use formulas.