STA215H5 Lecture 4: Unit 4 - Counting Principles LEC101 Notes - Samantha Caetano

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Lec101 notes: unit 4 (part 1) counting principles. Unit 4: objectives: choose appropriate formulae for different questions, identify variables within word problems, solve. Multiplication rule: ha(cid:448)i(cid:374)g (cid:862)(cid:374)(cid:863) disti(cid:374)(cid:272)t o(cid:271)je(cid:272)ts that (cid:272)a(cid:374) (cid:271)e partitio(cid:374)ed (cid:862)k(cid:863) groups (cid:449)ith (cid:862)(cid:374)i(cid:863) o(cid:271)je(cid:272)ts per group. Example: how many ways can you line up 5 people for a photo? (cid:862)there are (cid:1009) people for the (cid:1005)st positio(cid:374)(cid:863) (cid:862)there are (cid:1008) people for the (cid:1006)nd positio(cid:374)(cid:863) . Note: once you choose one person from the five for the first position, you are then only left with 4 people for the second position. Once one person from the 4 remaining people is selected, there are then only 3 people left for the third position, and so forth. = n x (n-1) x (n-(cid:1006)(cid:895) (cid:454) (cid:454) (cid:894)(cid:1007)(cid:895) (cid:454) (cid:894)(cid:1006)(cid:895) (cid:454) (cid:894)(cid:1005)(cid:895)

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