Question: How many subsets can be formed from the set G = {1, 2, 3, 4, 5, 6}?
Options:
32
64
128
256
Correct Answer: 128
Solution:
The number of subsets of a set with n elements is 2^n. Here, n = 6, so the number of subsets is 2^6 = 64.
How many subsets can be formed from the set G = {1, 2, 3, 4, 5, 6}?
Practice Questions
Q1
How many subsets can be formed from the set G = {1, 2, 3, 4, 5, 6}?
32
64
128
256
Questions & Step-by-Step Solutions
How many subsets can be formed from the set G = {1, 2, 3, 4, 5, 6}?
Step 1: Identify the set G, which is {1, 2, 3, 4, 5, 6}.
Step 2: Count the number of elements in the set G. There are 6 elements.
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: Calculate 2^6, which equals 64.
Step 6: Conclude that the number of subsets that can be formed from the set G is 64.
Subsets – 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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