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<p>Consider the set of English alphabets: \(\Omega = \{A, a, B, b, \dots, Z, z\}\).</p>
<ol class="i-list"><li data-list-item-id="item-i" data-list-item-path="item-i"><div class="list-item-paragraph">Find \(n(\Omega)\).</div></li><li data-list-item-id="item-ii" data-list-item-path="item-ii"><div class="list-item-paragraph">Find the number of subsets of \(\Omega\).</div></li><li data-list-item-id="item-iii" data-list-item-path="item-iii"><div class="list-item-paragraph">Find the number of proper subsets of \(\Omega\).</div></li><li data-list-item-id="item-iv" data-list-item-path="item-iv"><div class="list-item-paragraph">Find the number of subsets of \(\Omega\) that contain neither \(X\) nor \(x\).</div></li></ol>

Consider the set of English alphabets: \(\Omega = \{A, a, B, b, \dots, Z, z\}\).

Find the number of subsets of \(\Omega\).

Find the number of proper subsets of \(\Omega\).

Find the number of subsets of \(\Omega\) that contain neither \(X\) nor \(x\).

Listing and Counting Subsets

IP2U10 HOT Q1

Sets

<p>List all the proper subsets of \(Z = \{a, b, c, d\}\).</p>

List all the proper subsets of \(Z = \{a, b, c, d\}\).

Discrete Mathematics: Power Sets and Proper Subset Construction

<p>List all the proper subsets of \(X = \{2, 3, 4\}\).</p>

List all the proper subsets of \(X = \{2, 3, 4\}\).

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