# The number of subsets

1. 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

2. Without writing them all out, what is the number of subsets of set B = {12, 14, 16, 18, 20, 22, 24}?

3. 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?

https://brainmass.com/math/discrete-math/number-subsets-319149

#### Solution Preview

1. 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

Every element of B ...

#### Solution Summary

The number of subsets is depicted.