Question: How many subsets can be formed from the set H = {a, b, c, d, e, f}?
Options:
32
64
128
256
Correct Answer: 64
Solution:
The number of subsets of a set with n elements is 2^n. Here, n = 6, so 2^6 = 64.
How many subsets can be formed from the set H = {a, b, c, d, e, f}?
Practice Questions
Q1
How many subsets can be formed from the set H = {a, b, c, d, e, f}?
32
64
128
256
Questions & Step-by-Step Solutions
How many subsets can be formed from the set H = {a, b, c, d, e, f}?
Correct Answer: 64
Step 1: Identify the set H, which contains the elements {a, b, c, d, e, f}.
Step 2: Count the number of elements in the set H. There are 6 elements: a, b, c, d, e, f.
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 n = 6, calculate 2^6.
Step 5: Compute 2^6, which equals 64.
Step 6: Conclude that the total number of subsets that can be formed from the set H is 64.
Subsets – The concept of subsets involves understanding that for a set with n elements, the total number of subsets is calculated using the formula 2^n.
Set Theory – This question tests knowledge of basic set theory, specifically the properties of sets and their subsets.
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