tut9a-large - Problems to Week 10 Tutorial MACM 101 1 The...

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1. The board of directors of a pharmaceutical corporation has 10 members. An upcoming stockholders’ meeting is scheduled to approve a new slate of company officers (chosen from the 10 board members). (a) How many different slates consisting of a presi- dent, vice president, secretary, and treasurer can the board present to the stockholders for their ap- proval? (b) Three members of the board are physicians. How many slates from part (a) have (i) a physician nom- inated for presidency? (ii) exactly one physician appearing on the slate? (iii) at least one physician appearing on the slate? 2. How many arrangements are there of all the letters in SOCIOLOGICAL? 3. In how many different orders can five runners finish a race if no ties allowed? 4. A club has 25 members (a) How many ways are there to choose four members of the club to serve on an executive committee? (b) How many ways are there to choose a president,
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tut9a-large - Problems to Week 10 Tutorial MACM 101 1 The...

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