MATH 2030 Midterm: MATH 2030 University of Manitoba 3400Mar13Mid

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This exam has 7 pages plus two blank pages for your use. Following instructions (or not), neatness and mathematical form may all a ect your grade. If you continue your work outside the space allotted, clearly indicate where to nd the remainder of your work. Large, complicated numbers such as 100! may be left as the most simple formula that is easy to reach by hand. To show that you read these instructions, and for two bonus marks, put a star beside your name above. 11(cid:1). (h) d20 = (cid:4) 20! e (cid:5) (i) (cid:0)10. 2 (cid:1) + + (cid:0)110. 100(cid:1) (j) if a million people put their names into a barrel and each draw one randomly the probability is vanishingly small (essentially 0) that anyone draws their own name. 3: give a closed form expression for the gf that generates the sequence 02, 12, 22, . n2.