Final answer:
To calculate the number of subsets and proper subsets for the set of days of the week, first find the power set, which has 2^n elements for a set with n elements. Then, subtract 1 and the original set to find the number of proper subsets.
Step-by-step explanation:
To calculate the number of subsets and proper subsets for the set of days of the week, we need to consider the power set. The power set is the set of all possible subsets of a given set. For a set with n elements, the power set will have 2^n elements. In this case, the set of days of the week has 7 elements, so the power set will have 2^7 = 128 subsets.
A proper subset is a subset that does not include all the elements of the original set. To calculate the number of proper subsets, we subtract 1 (the empty set) and the set itself (all days of the week) from the total number of subsets. Therefore, the number of proper subsets is 128 - 2 = 126.