MATH 2030 Final: MATH 2030 University of Manitoba 10final

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University of manitoba: mathematics 3400, combinatorics i. You may continue material to be graded on the backs of pages, but clearly reference to nd this material at the point from which it is continued. To show where to find answers that are misplaced or continued else- Where no credit for that portion of your work. How well you follow instructions, neatness and presentation may all a ect your grade. Perform any easy simpli cation of your answers and fully resolve numerical expressions that are easily obtained and consist of fewer than 4 digits. Large or complicated numerical answers, such as 100! may be left as the most simple formula from which they may be obtained. Calculating or graphing calculators and a one-sided crib sheet are permitted, but unnecessary, in this exam. Marks are indicated in the column on the left. Student number: indicate in the left margin beside each question whether it is true (t) or false (f).