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# The number of subsets

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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.

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