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How many subsets can be formed from the set C = {x, y, z, w}?
How many subsets can be formed from the set C = {x, y, z, w}?
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Practice Questions
1 question
Q1
How many subsets can be formed from the set C = {x, y, z, w}?
4
8
16
2
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The number of subsets of a set with n elements is 2^n. Here, n = 4, so 2^4 = 16.
Questions & Step-by-step Solutions
1 item
Q
Q: How many subsets can be formed from the set C = {x, y, z, w}?
Solution:
The number of subsets of a set with n elements is 2^n. Here, n = 4, so 2^4 = 16.
Steps: 6
Show Steps
Step 1: Identify the set C, which is {x, y, z, w}.
Step 2: Count the number of elements in the set C. There are 4 elements: x, y, z, and w.
Step 3: Use the formula for the number of subsets, which 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, which equals 16.
Step 6: Conclude that the number of subsets that can be formed from the set C is 16.
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