hw11 - CS 330 Discrete Computational Structures Fall...

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CS 330 : Discrete Computational Structures Fall Semester, 2014 Assignment #11 [Extra Credit] Due Date: Sunday, Dec 7 Suggested Reading: Rosen Sections 6.4 - 6.5 These are the problems that you need to turn in. Always explain your answers and show your reasoning. Spend time giving a complete solution. You will be graded based on how well you explain your answers. Just correct answers will not be enough! 1. [10 Pts] Rosen, Section 6.4: Exercise 22 2. [8 Pts] Prove, using a combinatorial argument, that C ( m + n, 2) = C ( m, 2) + C ( n, 2) + mn , where m, n 2. Hint: Consider a group of m men and n women and pick two people from this group. 3. [8 Pts] Rosen, Section 6.4: Exercise 30 4. [16 Pts] A cookie shop sells 6 different kinds of cookies. How many different ways are there to choose 20 cookies if (a) you have no restrictions? (b) you pick at least two of each? (c) you pick at least 4 chocolate chip cookies and exactly 5 oatmeal cookies? (d) you pick at least 5 oatmeal cookies, at least 4 sugar cookies and at most 5 chocolate chip cookies?
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  • Fall '15
  • Soma Chaudhuri
  • pts, 5 pts, 8 pts, Chocolate chip cookie, Cookie, 10 pts

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