MATH 1070Q Lecture 5: Lecture #5
19 Oct 2017
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If you flip a coin twice: 4 outcomes 2^2. If you flip a coin three times: 2^3. If we do task twice and we want a different outcome eat time (no repeat) Example: 20 shoes, you want to wear a different pair on monday and tuesday. E(cid:454)a(cid:373)ple (cid:1006): you have (cid:1005)(cid:1004) (cid:373)ar(cid:271)les, (cid:455)ou do(cid:374) t put the (cid:373)ar(cid:271)le (cid:271)a(cid:272)k. For three trials, the possibilities are 10 x 9 x 8 = 720. If we put it back each time, there would be 1000 possibilities. Example 3: there are 12 options for prom king and 17 for prom queen. If you voted for favorite: 12 x 17 = 204 possible couples. If you are allowed to pick top 2: 12 x 11 x 17 x 16 = 35,904 possible couples. If you could choose 1 prom king and top three prom queens: 12 x 17 x16. There are 7 main dishes, 13 side options, 8 drink options, and 4 desserts.
