4/26 Learning target To be able to find the number ways of an event, combination,permutation In class Notes/exit HW: 12-2 Skills practice# 1-10 first.

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4/26 Learning target To be able to find the number ways of an event, combination,permutation In class Notes/exit HW: 12-2 Skills practice# 1-10 first column &13- 24omit 20,24 12-2 Practice #13-24 omit 14,17 Warm up There are 15 volleyball players on the team. How many ways can a captain and co-captain be chosen? You roll a die and flip a coin. Represent the sample space.

Permutation Order matters!!! There is a “ranking” or “position” involved. Example : There are 32 students in Finite Math class. We are asked to elect a president, vice-president, and secretary of our class. How many outcomes are possible? P(32,3)=29760

Combination Order does NOT matter!!! “committee” Example: There are 10 people on the SBDM. How many ways can a subcommittee be formed of 4 people? C(10,4)=210

Multiple Events (And=multiply Or=Add If you are choosing more than one object from different categories. Example: There are 10 boys and 15 girls. How many ways can a team consisting of 3 boys and 2 girls be formed? C(10,3)*C(15,2)= 120 * 105=12600

Cont. 3. There are 50 people in the band. How many possible pep bands can be formed if there are 15 instruments in each band? 4. There are 20 woodwinds, 15 brass, and 15 percussionist in band. How many pep bands consisting of 8 woodwinds, 5 brass, and 2 percussionist are possible?