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What is the number of subsets of the set H = {1, 2, 3, 4, 5}?
What is the number of subsets of the set H = {1, 2, 3, 4, 5}?
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Q1
What is the number of subsets of the set H = {1, 2, 3, 4, 5}?
32
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The number of subsets of a set with n elements is 2^n. Here, n = 5, so 2^5 = 32.
Questions & Step-by-step Solutions
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Q
Q: What is the number of subsets of the set H = {1, 2, 3, 4, 5}?
Solution:
The number of subsets of a set with n elements is 2^n. Here, n = 5, so 2^5 = 32.
Steps: 6
Show Steps
Step 1: Identify the set H. In this case, H = {1, 2, 3, 4, 5}.
Step 2: Count the number of elements in the set H. There are 5 elements: 1, 2, 3, 4, and 5.
Step 3: Use the formula for the number of subsets. The formula is 2^n, where n is the number of elements in the set.
Step 4: Substitute the value of n into the formula. Here, n = 5, so we calculate 2^5.
Step 5: Calculate 2^5. This equals 32.
Step 6: Conclude that the number of subsets of the set H is 32.
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