How many subsets can be formed from the set {1, 2, 3, 4, 5, 6}?

How many subsets can be formed from the set {1, 2, 3, 4, 5, 6}?

Correct Answer: 64

Step 1: Identify the set you are working with. In this case, the set is {1, 2, 3, 4, 5, 6}.
Step 2: Count the number of elements in the set. Here, there are 6 elements.
Step 3: Use the formula for finding the number of subsets, which is 2 raised to the power of the number of elements (n).
Step 4: Substitute the number of elements into the formula. Since n = 6, you calculate 2^6.
Step 5: Calculate 2^6, which equals 64.
Step 6: Conclude that the total number of subsets that can be formed from the set {1, 2, 3, 4, 5, 6} is 64.

Subsets – The concept of subsets involves understanding that for a set with n elements, each element can either be included or excluded from a subset, leading to a total of 2^n possible subsets.