1. List all possible arrangements of the four letters m, a, t, and h. Let C₁ be the collection of the arrangements in which h is in the last position. Let C₂ be the collection of the arrangements in which m is in the first position. Find the union and the intersection of C₁ and C₂.

Determine whether the statement below is true or false. If it is false, rewrite it as a true statement. The number of different ordered arrangements of n distinct objects is n!. Choose the correct answer below. O A. The statement is true. O B. The statement is false. A true statement is, "The number of different unordered arrangements of n distinct objects is n!." O C. The statement is false. A true statement is, "The number of different ordered arrangements of n distinct objects is n." O D. The statement is false. A true statement is, "The number of different ordered arrangements of n distinct objects is (n- 1)!."