If F = {1, 2, 3, 4}, what is the number of proper subsets of F?

If F = {1, 2, 3, 4}, what is the number of proper subsets of F?

Step 1: Identify the set F, which is {1, 2, 3, 4}.
Step 2: Count the number of elements in the set F. There are 4 elements.
Step 3: Use the formula for the total number of subsets, which is 2^n, where n is the number of elements. Here, n = 4.
Step 4: Calculate 2^4, which equals 16. This means there are 16 total subsets of F.
Step 5: Understand that a proper subset is any subset that is not the entire set itself.
Step 6: To find the number of proper subsets, subtract 1 from the total number of subsets (to exclude the set F itself).
Step 7: Calculate 16 - 1, which equals 15. Therefore, there are 15 proper subsets of F.

No concepts available.