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2010 summer midterm - University of Ottawa Department of...

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University of Ottawa Department of Mathematics and Statistics MAT 2377 3X: Probability and Statistics for Engineers Instructor: Aziz Khanchi Midterm Exam -Blue- Version 1- Solutions June 2010 Surname First Name Student # Instructions: You have 1 hour and 45 minutes to complete this exam. Record your answers in the table below. Only TI 30 calculators or equivalent models are permitted. Do not detach the staple. Write your student number at the top of each page in the space provided. There are 12 multiple choice questions. GOOD LUCK! Question Answer 1 2 3 4 5 6 7 8 9 10 11 12
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Student # MAT 2377 3X Midterm Exam -Blue- Version 1- Solutions Question 1. How many different 8 letter codes can be constructed using 2 a’s, 4 b’s and 2 c’s? A) 420 B) 40320 C) 16 D) 70 E) 840 Solution: 8! 2! 4! 2! = 420 . Question 2. In how many ways can 4 of 10 printers be chosen for a special company if a) order matters? b) order does not matter? A) a) 420, b) 5040 B) a) 210, b) 5040 C) a) 5040, b) 210 D) a) 5040, b) 200 E) a) 200, b) 10 Solution: a) Order matters, so it is a permutation: P 10 4 = 10! (10 - 4)! = 10! 6! = 5040 . b) This one is combination, C 10 4 = 10! 4!(10 - 4)! = 10! 4!6! = 210 .
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