Determine whether the following permutations are even or odd. (a) 4213 (d) 2413 (b) 3142 (e) 4321 ( c ) 3214

Math 3160 – Textbook Notes A First Course in Probability Chapter 1 – Combinatorial Analysis Introduction o Many problems in probability theory can be solved simply by counting the number of different ways that a certain event can occur o Enumeration is basic laying out of arrangements o Mathematical theory of counting is known as Combinatorial Analysis The Basic Principle of Counting o One experiment can result in m number of outcomes o One experiment can result in n number of outcomes o Together there are mn possible outcomes of the two experiments Permutations o How many different ordered arrangement of the letters a, b, and c are possi