How many subsets can be formed from the set {x, y, z, w, v}?
Practice Questions
Q1
How many subsets can be formed from the set {x, y, z, w, v}?
16
32
64
8
Questions & Step-by-Step Solutions
How many subsets can be formed from the set {x, y, z, w, v}?
Correct Answer: 32
Step 1: Identify the set you have. In this case, the set is {x, y, z, w, v}.
Step 2: Count the number of elements in the set. Here, there are 5 elements: x, y, z, w, and v.
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 is 5, calculate 2^5.
Step 5: Perform the calculation: 2^5 equals 32.
Step 6: Conclude that there are 32 subsets that can be formed from the set {x, y, z, w, v}.
Subsets – A subset is a set formed from the elements of another set, including the empty set and the set itself.
Power Set – The power set of a set is the set of all possible subsets, and its size is calculated as 2^n, where n is the number of elements in the original set.