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How many subsets can be formed from the set G = {1, 2, 3, 4, 5, 6}?
How many subsets can be formed from the set G = {1, 2, 3, 4, 5, 6}?
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Practice Questions
1 question
Q1
How many subsets can be formed from the set G = {1, 2, 3, 4, 5, 6}?
32
64
128
256
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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.
Questions & Step-by-step Solutions
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Q
Q: How many subsets can be formed from the set G = {1, 2, 3, 4, 5, 6}?
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.
Steps: 6
Show Steps
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.
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