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If K = {a, b, c}, what is the number of subsets of K that do not contain the ele
If K = {a, b, c}, what is the number of subsets of K that do not contain the element 'a'?
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If K = {a, b, c}, what is the number of subsets of K that do not contain the element 'a'?
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If 'a' is excluded, we can form subsets from {b, c}, which has 2^2 = 4 subsets.
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Q: If K = {a, b, c}, what is the number of subsets of K that do not contain the element 'a'?
Solution:
If 'a' is excluded, we can form subsets from {b, c}, which has 2^2 = 4 subsets.
Steps: 8
Show Steps
Step 1: Identify the set K, which is {a, b, c}.
Step 2: Determine that we want subsets that do not include the element 'a'.
Step 3: Remove 'a' from the set K, leaving us with the set {b, c}.
Step 4: Calculate the number of subsets of the remaining set {b, c}.
Step 5: Use the formula for the number of subsets, which is 2 raised to the power of the number of elements in the set.
Step 6: The set {b, c} has 2 elements, so we calculate 2^2.
Step 7: Calculate 2^2, which equals 4.
Step 8: Conclude that there are 4 subsets of K that do not contain the element 'a'.
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