12.2 Find Probability Using Permutations

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Presentation transcript:

12.2 Find Probability Using Permutations Mrs. vazquez Geometry

(S.cp.)1 & 9, (s.md)6 & 7 Essential Question: How are many different arrangements can there be? Objective: Students will be able to use the formula for the number of permutations.

permutations definition: an arrangement of objects in which order is important factorial: (!) evaluated by multiplying the integers in descending order 5! = 5∙4∙3∙2∙1 = 120

permutations formulas nPn = n! the # of permutations of n objects Ex: 4P4 = 4! = 24 nPr = the # of permutations of n objects taken r at a time Ex: 4P2 = = = 12

solve Your band writes 15 songs. You will record 9 of them for a CD. How many different ways can you order the songs on the CD?

solve For a parade, you will ride on a float with your soccer team. There are 14 floats and their order is chosen at random. Find the probability that the team is first & the chorus is second.