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}?

Correct Answer: 16

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.

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, including the empty set and the set itself.
Exponential Growth – The number of subsets grows exponentially with the number of elements in the set, specifically as 2^n.