WARM UP What is the probability that a point chosen at random on the grid will lie in the unshaded region? 𝑈𝑛𝑠ℎ𝑎𝑑𝑒𝑑 𝑇𝑜𝑡𝑎𝑙 40 = 64 5 = 8 FUNDAMENTAL COUNTING PRINCIPAL If event M can occur in m ways and event N can occur in n ways, then event M followed by event N can occur in m×n ways. EX: A menu with 4 entrees and 6 drinks has 4×6=24 possible lunch specials. USING THE FUNDAMENTAL COUNTING PRINCIPLE COMBINATIONS AND PERMUTATIONS Permutations- arrangement for which the order does matter. Combinations- sets of items for which the order does not matter. N FACTORIAL n Factorial: For any number(n), n factorial (n!) is PERMUTATION Permutation Notation: USING THE PERMUTATION FORMULA COMBINATIONS Combination Notation: USING THE COMBINATION FORMULA n r FINDING PROBABILITIES ASSIGNMENT Pg. 626 #3-14
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