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# HW1 - are possible A2 How many diﬀerent words —...

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HOMEWORK #1 MTH 201, FALL 2007 DUE: WEDNESDAY, SEPTEMBER 19, IN-CLASS AT THE BEGINNING OF CLASS The following problems are numbered the same in both the 6th and 7th edition of Ross’s textbook. Chapter 1, Problems: 13, 22; Chapter 1, Theoretical Exercises: 2, 8, 9, 10. In addition, do the following four problems: A1. A research team consists of 9 men and 6 women. A project outline is to be devel- oped by a group of 3 men and 2 women from the team. How many such groups
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Unformatted text preview: are possible? A2. How many diﬀerent words — meaningful or not — can be spelled using the letters of COLORADO? (Each letter is used exactly once. So, for example, all words are of length 8.) A3. What is the coeﬃcient of a 6 b 3 in the expansion of (7 a + 3 b + 2) 9 ? A4. What is the sum of all the coeﬃcients in the expansion of ( a + b + c + d + e ) 23 ?...
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