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Use two ways to count the number of r-combinations of[n]={1,2,…,n}that contains 1 or 2 or 3. First, separate cases with Case 1 counting all r-combinations of [n] that contains 1 , Case 2 counting all r-combination of [n] that contains 2 but not 1 , and Case 3 counting allrcombination of [n] that contains 3 but not 1 or 2 . Second, count all r-combinations of [n] not containing any of1,2,3and use the subtraction rule.

Use two ways to count the number of r-combinations of[n]={1,2,…,n}that contains 1 or 2 or 3. First, separate cases with Case 1 counting all r-combinations of [n] that contains 1 , Case 2 counting all r-combination of [n] that contains 2 but not 1 , and Case 3 counting allrcombination of [n] that contains 3 but not 1 or 2 . Second, count all r-combinations of [n] not containing any of1,2,3and use the subtraction rule.

Computer Networking: A Top-Down Approach (7th Edition)
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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Use two ways to count the number of r-combinations of[n]={1,2,…,n}that contains 1 or 2 or 3. First, separate cases with Case 1 counting all r-combinations of [n] that contains 1 , Case 2 counting all r-combination of [n] that contains 2 but not 1 , and Case 3 counting allrcombination of [n] that contains 3 but not 1 or 2 . Second, count all r-combinations of [n] not containing any of1,2,3and use the subtraction rule.

2) Use two ways to count the number of r-combinations of [n] = {1, 2, ..., n} that contains 1 or 2 or 3. First, separate cases with Case 1 counting all r-combinations of [n] that contains 1, Case 2 counting all r-combination of [n] that contains 2 but not 1, and Case 3 counting all r- combination of [n] that contains 3 but not 1 or 2. Second, count all r-combinations of [n] not containing any of 1, 2, 3 and use the subtraction rule.
Transcribed Image Text:2) Use two ways to count the number of r-combinations of [n] = {1, 2, ..., n} that contains 1 or 2 or 3. First, separate cases with Case 1 counting all r-combinations of [n] that contains 1, Case 2 counting all r-combination of [n] that contains 2 but not 1, and Case 3 counting all r- combination of [n] that contains 3 but not 1 or 2. Second, count all r-combinations of [n] not containing any of 1, 2, 3 and use the subtraction rule.
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