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3.4 Additional Topics in Probability and Counting

3.4 Additional Topics in Probability and Counting. Important Concepts Permutations Combinations. 3.4 Additional Topics in Probability and Counting.

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3.4 Additional Topics in Probability and Counting

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  1. 3.4 Additional Topics in Probability and Counting • Important Concepts • Permutations • Combinations

  2. 3.4 Additional Topics in Probability and Counting • Clara, Amanda, Nakita, Morgan, Keanna, Kylie, Alexa, and Kaleigh are about to start the 400 meter individual medley at the 2010 Class A Nebraska State Track Meet. In how many ways can these runners finish the race? Factorial Notation: n! = n∙(n – 1)∙(n – 2)∙(n – 3)∙…∙3∙2∙1 • A little league baseball coach needs to select 9 players from his 12-member roster for tomorrow’s starting lineup. How many starting lineups can the coach create?

  3. 3.4 Additional Topics in Probability and Counting • Permutations are ordered arrangements of objects. The number of permutations of r objects taken from a set of n objects is given by:

  4. 3.4 Additional Topics in Probability and Counting • Douglas Reynholm, president of Reynholm Industries, must decide which three members of his IT department will attend a convention in Las Vegas Nevada. The IT staff include Roy, Moss, Jen, and Richmond. How many options does Douglas have?

  5. 3.4 Additional Topics in Probability and Counting • Combinations are unordered selections of objects. The number of combinations of r objects taken from a set of n objects is given by:

  6. 3.4 Additional Topics in Probability and Counting • Johnny has 8 marbles in his bag – 3 blues, 2 greens, 2 reds, and 1 white. How many distinguishable permutations of the 8 marbles are possible? where n1 + n2 + n3 + … + nk = n

  7. 3.4 Additional Topics in Probability and Counting • Practice: #16 p. 174 #20 p. 174 (Skiing) #26 p. 175 (Archaeology Club) #32 p. 175 (Jury Selection) #43 p. 176 (Jukebox) #48 p. 176 (Financial Shape)

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