COMP 2804 Study Guide - Midterm Guide: Scantron Corporation, 3 Ft Gauge Rail Modelling, Pilsner
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February 24, 2015: all questions must be answered on the scantron sheet, write your name and student number on the scantron sheet, you do not have to hand in this examination paper, calculators are allowed. Marking scheme: each of the 17 questions is worth 1 mark. k! (n k)! k(cid:1) = n: (cid:0)n, newton: (x + y)n = pn k=0 (cid:0)n k(cid:1)xn kyk. 1: the carleton computer science society has a board of directors consisting of a president and a seven-person advisory board. The president cannot be on the advisory board. Let n be the number of students in carleton"s computer science program, where n 8. In how many ways can a board of directors be chosen? (a) (n 7) + (cid:0)n. 7(cid:1: let a be a set of 7 elements and let b be a set of 15 elements. How many functions f : a b are there? (a) 715 (b) 157 (c) 15!/7! (d) (cid:0)15.