Problem

Calculate the number of subsets and proper subsets for the following set. $\{x \mid x$ is a number on a traditional die $\}$
The number of subsets is (Simplify your answer.)

Answer

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Answer

Final Answer: The number of subsets of the set \(\{x \mid x\) is a number on a traditional die \(\}\) is \(\boxed{64}\).

Steps

Step 1 :The set in question is the set of numbers on a traditional die, which are {1, 2, 3, 4, 5, 6}. This set has 6 elements.

Step 2 :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 3 :In this case, n = 6. So, we need to calculate \(2^6\).

Step 4 :\(2^6 = 64\)

Step 5 :Final Answer: The number of subsets of the set \(\{x \mid x\) is a number on a traditional die \(\}\) is \(\boxed{64}\).

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