Question: How many subsets can be formed from the set S = {a, b, c, d}?
Options:
4
8
16
2
Correct Answer: 8
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.
How many subsets can be formed from the set S = {a, b, c, d}?
Practice Questions
Q1
How many subsets can be formed from the set S = {a, b, c, d}?
4
8
16
2
Questions & Step-by-Step Solutions
How many subsets can be formed from the set S = {a, b, c, d}?
Correct Answer: 16
Step 1: Identify the set S. In this case, S = {a, b, c, d}.
Step 2: Count the number of elements in the set S. 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 that can be formed from the set S is 16.
Subsets of a Set – The concept of subsets involves understanding that for a set with n elements, the total number of possible subsets is calculated using the formula 2^n.
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