Кeys We have a box with 21 keys. There are 7 types of keys. Each key is colored (monochromatic) in one of 3 colors: red, green, or blue. Thus, the box contains exactly one key of each combination of type and color. We pick a subset of keys from the box. For cach of the following seven questions, count the number of ways that we can pick a subset satisfying the listed constraints. Your answers must be given in terms of binomials and exponentials. Do not give your answers in terms of factorials. Do not simplify your answers into a single integer. You must use binomials and cxponentials. Use the notation (E) for binomials. At the very beginning of your answer, list your seven expressions in a table as show above. After the table, justify cach of your seven answers, and show your calculations. Formal proofs are not required. 1. Pick 4 red keys. 2. Pick 3 keys, 2 red and 1 blue. 3. Pick 3 keys, 2 red and 1 blue, and no two picked keys are of the same type. 4. Pick 7 keys, one of cach type. 5. Pick 3 keys, all of the same color. 6. Pick 3 keys, no two of the same type. 7. Pick 3 keys, one of cach color, and no two picked keys are of the same type.

Кeys We have a box with 21 keys. There are 7 types of keys. Each key is colored (monochromatic) in one of 3 colors: red, green, or blue. Thus, the box contains exactly one key of each combination of type and color. We pick a subset of keys from the box. For cach of the following seven questions, count the number of ways that we can pick a subset satisfying the listed constraints. Your answers must be given in terms of binomials and exponentials. Do not give your answers in terms of factorials. Do not simplify your answers into a single integer. You must use binomials and cxponentials. Use the notation (E) for binomials. At the very beginning of your answer, list your seven expressions in a table as show above. After the table, justify cach of your seven answers, and show your calculations. Formal proofs are not required. 1. Pick 4 red keys. 2. Pick 3 keys, 2 red and 1 blue. 3. Pick 3 keys, 2 red and 1 blue, and no two picked keys are of the same type. 4. Pick 7 keys, one of cach type. 5. Pick 3 keys, all of the same color. 6. Pick 3 keys, no two of the same type. 7. Pick 3 keys, one of cach color, and no two picked keys are of the same type.

Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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