Consider two probability spaces: In the first, the outcomes are all unordered subsets of size k out of a set of n distinct elements. In the second, the outcomes are all ordered subsets of size k out of a set of n distinct elements. Both probability distributions are uniform. Let E be any event in the first probability space. Let F be the event in the second probability space defined as follows: F = {All ordered sequences (i1, i2, . . . , ik) such that the unordered subset{i1, . . . , ik} is an element of E}. Show that the probability of E in the first probability space is equal to the probability of F in the second probability space.