Consider the set A = {0, 1, 2, 3, 4, 5, 6} Find two ways to count the number of subsets of A with an even number of elements, as follows. (a) Find the number of each of the following: subsets of 0 elements, subsets of 2 elements, subsets of 4 elements, and subsets of 6 elements. Then use the additive principle. (b) Find the total number of subsets of A as a power of 2, then subtract the number of ....... …………………….. subsets of 1, 3, 5, or 7 elements. What identity does this prove? Write the identity as an equation.

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