Explore BrainMass
Share

Explore BrainMass

    The number of subsets

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    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?

    © BrainMass Inc. brainmass.com October 10, 2019, 1:03 am ad1c9bdddf
    https://brainmass.com/math/discrete-math/number-subsets-319149

    Attachments

    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.

    $2.19