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What is the number of subsets of the set {a, b, c, d}?
What is the number of subsets of the set {a, b, c, d}?
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Practice Questions
1 question
Q1
What is the number of subsets of the set {a, b, c, d}?
4
8
16
2
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The number of subsets of a set with n elements is 2^n. Here, n = 4, so the number of subsets is 2^4 = 16.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the number of subsets of the set {a, b, c, d}?
Solution:
The number of subsets of a set with n elements is 2^n. Here, n = 4, so the number of subsets is 2^4 = 16.
Steps: 6
Show Steps
Step 1: Identify the set you are working with. In this case, the set is {a, b, c, d}.
Step 2: Count the number of elements in the set. Here, there are 4 elements: a, b, c, and d.
Step 3: Use the formula for the number of subsets, which is 2 raised to the power of the number of elements (n).
Step 4: Since there are 4 elements, calculate 2^4.
Step 5: Perform the calculation: 2^4 = 16.
Step 6: Conclude that the number of subsets of the set {a, b, c, d} is 16.
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