Mathematics 1225A/B Study Guide - Nipple, Pencil, Scantron Corporation

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Note: your answers to the problems in part a must be. In a group of 85 students, it is found that 60 students have a pen, 50 students have a pencil, and 25 students have a pen but not a pencil. Let g be the set of all students taking geography, m be the set of all students taking. Math, and p be the set of all students taking psychology. Allison is taking both geography and math, but is not taking psychology. D: g m p e: (g p ) (m p ) Find the number of di erent ways to give 45 cents in change using quarters (25 cents), dimes (10 cents) and/or nickels (5 cents). (hint: consider giving coins of larger value before those of smaller value. ) In how many ways can you choose at least two. Find the number of permutations of all the letters in the word assists.

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