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What is the number of subsets of the set {1, 2, 3, 4}?
What is the number of subsets of the set {1, 2, 3, 4}?
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Q1
What is the number of subsets of the set {1, 2, 3, 4}?
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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.
Questions & Step-by-step Solutions
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Q: What is the number of subsets of the set {1, 2, 3, 4}?
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.
Steps: 6
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Step 1: Identify the set. The set we have is {1, 2, 3, 4}.
Step 2: Count the number of elements in the set. There are 4 elements: 1, 2, 3, and 4.
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 = 4, so we calculate 2^4.
Step 5: Calculate 2^4. This equals 16.
Step 6: Conclude that the number of subsets of the set {1, 2, 3, 4} is 16.
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