MACM 101 Midterm: 115_M1b_winter2017_solutions

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Student number : you have 60 minutes to complete the examination, you may use any casio-fx ms model calculator. A jackpot occurs when four numbers match in the correct order: after selecting a ball, it is returned to the bag. [2: after selecting a ball, it is not returned to the bag. [2: a secondary prize is given if the four numbers match, but not necessarily in the same order. [3] arrangements with blue first: (cid:883) 9!(cid:2871)!(cid:2870)! (cid:2872)!=(cid:883)(cid:884)(cid:888)(cid:882) not blue first: (cid:885)(cid:883)(cid:887)(cid:882) (cid:883)(cid:884)(cid:888)(cid:882)=(cid:883)(cid:890)(cid:891)(cid:882) 2: a survey is taken of 100 people regarding what hockey teams they cheer for: vancouver, montreal, or. 9 people cheer for none of the teams. 71 people cheer for vancouver, 32 people cheer for montreal, and 25 people cheer for toronto. 16 people cheer for both vancouver and montreal, and 19 people cheer for both vancouver and toronto. [6] (cid:1853)+(cid:1854)+(cid:1855)+(cid:891)+(cid:885)(cid:889)+(cid:883)(cid:887)+(cid:883)+(cid:883)(cid:890)=(cid:883)(cid:882)(cid:882) (cid:1853)+(cid:1854)+(cid:1855)=(cid:884)(cid:882) (cid:1854)+(cid:1855)+(cid:883)+(cid:883)(cid:890)=(cid:884)(cid:887) (cid:1853)+(cid:1854)+(cid:883)(cid:887)+(cid:883)=(cid:885)(cid:884) (cid:1854)+(cid:1855)=(cid:888) (cid:1853)+(cid:1854)=(cid:883)(cid:888) (cid:1855)=(cid:886) (cid:1853)=(cid:883)(cid:886) (cid:1854)=(cid:884) (cid:4666)(cid:885)(cid:1829) (cid:1830)(cid:2871)(cid:4667)(cid:2872)