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}?
  1. 16
  2. 32
  3. 64
  4. 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.
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