MATH 318 Midterm: MATH 318 2014 Winter Test 2

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31 Jan 2019
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Be sure this exam has 17 pages including the cover. This exam consists of 8 questions worth 10 marks each. 80: each candidate must present ubc identi cation, read and observe the following rules: No candidate shall be permitted to enter the examination room after the expiration of one half hour, or to leave during the rst half hour of the examination. Candidates are not permitted to ask questions of the invigilators, except in cases of supposed errors or ambiguities in examination questions. The plea of accident or forgetfulness shall not be received: smoking is not permitted during examinations. Page 2 of 17: consider 8-digit numbers where each digit is one of the ten integers 0,1,2,3,4,5,6,7,8,9. (2 marks) (a) How many 8-digit numbers have 0 appear as a digit exactly 3 times? (2 marks) (b) I choose 8-digit numbers at random until i obtain one that does not contain 0 as a digit.