1. 3.4 Counting Principles I.The Fundamental Counting Principle: if one event can occur m ways and a second event can occur n ways, the number of ways the 2 events can occur in sequence is m x n. Page 150-151 Examples 1 & 2

2. II. Permutations An ordered arrangement of objects The number of different permutations of n distinct objects is n! Factorial: n! = n(n-1)(n-2)… P152 Example 3 n P r = n! The number of permutations of n (n-r)! distinct objects taken r at a time P152-153 Examples 4 & 5

3. Distinguishable Permutations: P154 Example 6 and TIY6

4. III. Combinations A selection of r objects from a group of n objects without regard to order n C r = n! (n-r)!r! P155 Example 7 and TIY#7

5. IV. Applications of Counting Principles 1. A word consists of 1 M, 4 Is, 4 Ss, and 2 Ps. If the letters are randomly arranged in order, what is the probability the arrangement spells the word Mississippi?

6. 2. A word consists of 1 L, 2 Es, 2 Ts, and 1 R. If the letters are randomly arranged in order, what is the probability the arrangement spells the word Letter?

7. 3. Find the probability of being dealt five diamonds from a standard deck of playing cards. (In poker, this is a diamond flush.)

8. 4.A jury consists of 5 men and 7 women. Three are selected at random for an interview. Find the probability that all three are men. P158 #24-38even