Question: How many subsets does the set A = {a, b, c, d} have?
Options:
4
8
16
2
Correct Answer: 8
Solution:
The number of subsets of a set with n elements is given by 2^n. Here, n = 4, so the number of subsets is 2^4 = 16.
How many subsets does the set A = {a, b, c, d} have?
Practice Questions
Q1
How many subsets does the set A = {a, b, c, d} have?
4
8
16
2
Questions & Step-by-Step Solutions
How many subsets does the set A = {a, b, c, d} have?
Step 1: Identify the set A. In this case, A = {a, b, c, d}.
Step 2: Count the number of elements in the set A. Here, there are 4 elements: a, b, c, and d.
Step 3: Use the formula for the number of subsets, which is 2^n, where n is the number of elements in the set.
Step 4: Substitute the value of n into the formula. Since n = 4, we calculate 2^4.
Step 5: Calculate 2^4, which equals 16.
Step 6: Conclude that the number of subsets of the set A is 16.
Subsets – A subset is a set formed from the elements of another set, including the empty set and the set itself.
Power Set – The power set of a set is the set of all its subsets, and the number of subsets is calculated as 2^n, where n is the number of elements in the original set.
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