Count the number of ordered tuples in the following relations. show your work. (a) the 3-ary relation c is a subset of the cartesian product of {1, 2, 3, 4} × {1, 2, 3, 4} × {1, 2, 3, 4} and is the set of ordered tuples < c1, c2, c3 > such that c1 and c2 are two distinct digits between 1 and 4 inclusive, and c2 and c3 are two distinct digits between 1 and 4 inclusive. (b) the 3-ary relation b is a subset of the cartesian product of {1, 2, 3, 4, 5, 6, 7, 8, 9}×{1, 2, 3, 4, 5, 6, 7, 8, 9}× {1, 2, 3, 4, 5, 6, 7, 8, 9} and is the set of ordered tuples < b1, b2, b3 > such that b1, b2, and b3 are distinct integers between 1 and 9 inclusive, where at least one of the three is even and at least one of the three is odd.