How many subsets can be formed from the set S = {a, b, c, d}?

Practice Questions

Q1
How many subsets can be formed from the set S = {a, b, c, d}?
  1. 4
  2. 8
  3. 16
  4. 2

Questions & Step-by-Step Solutions

How many subsets can be formed from the set S = {a, b, c, d}?
Correct Answer: 16
  • Step 1: Identify the set S. In this case, S = {a, b, c, d}.
  • Step 2: Count the number of elements in the set S. Here, there are 4 elements: a, b, c, and d.
  • 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. Since n = 4, 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 S is 16.
  • Subsets of a Set – The concept of subsets involves understanding that for a set with n elements, the total number of possible subsets is calculated using the formula 2^n.
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