Problem

For the given set, first calculate the number of subsets for the set, then calculate the number of proper subsets.
\[
\{11,5,15,6\}
\]
The number of subsets is
The number of proper subsets is

Answer

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Answer

Final Answer: The number of subsets is \(\boxed{16}\) and the number of proper subsets is \(\boxed{15}\)

Steps

Step 1 :Given the set \(\{11,5,15,6\}\)

Step 2 :The number of elements in the set, denoted as \(n\), is 4

Step 3 :The number of subsets of a set is given by the formula \(2^n\), where \(n\) is the number of elements in the set

Step 4 :Substituting \(n = 4\) into the formula, we get \(2^4\) which equals 16

Step 5 :The number of proper subsets of a set is given by the formula \(2^n - 1\), where \(n\) is the number of elements in the set

Step 6 :Substituting \(n = 4\) into the formula, we get \(2^4 - 1\) which equals 15

Step 7 :Final Answer: The number of subsets is \(\boxed{16}\) and the number of proper subsets is \(\boxed{15}\)

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