To prove: ∑ i = 1 n s i = ∑ i = 1 n ( n − 1 − s i ) and interpret this result in the context of a round- robin tournament.

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Answer 1

Question

Chapter 11.4, Problem 5E

(a)

To determine

To prove: ∑i=1nsi=∑i=1n(n−1−si) and interpret this result in the context of a round- robin tournament.

(b)

To determine

To prove: ∑i=1nsi2=∑i=1n(n−1−si)2 and interpret this result in the context of a round- robin tournament.

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Answer 2

Question

Chapter 11.4, Problem 5E

(a)

To determine

To prove: ∑i=1nsi=∑i=1n(n−1−si) and interpret this result in the context of a round- robin tournament.

(b)

To determine

To prove: ∑i=1nsi2=∑i=1n(n−1−si)2 and interpret this result in the context of a round- robin tournament.

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Answer 3

Question

Chapter 11.4, Problem 5E

(a)

To determine

To prove: ∑i=1nsi=∑i=1n(n−1−si) and interpret this result in the context of a round- robin tournament.

(b)

To determine

To prove: ∑i=1nsi2=∑i=1n(n−1−si)2 and interpret this result in the context of a round- robin tournament.

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Answer 4

Question

Chapter 11.4, Problem 5E

(a)

To determine

To prove: ∑i=1nsi=∑i=1n(n−1−si) and interpret this result in the context of a round- robin tournament.

(b)

To determine

To prove: ∑i=1nsi2=∑i=1n(n−1−si)2 and interpret this result in the context of a round- robin tournament.

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Answer 5

Chapter 11.4, Problem 5E

(a)

To determine

To prove: ∑i=1nsi=∑i=1n(n−1−si) and interpret this result in the context of a round- robin tournament.

(b)

To determine

To prove: ∑i=1nsi2=∑i=1n(n−1−si)2 and interpret this result in the context of a round- robin tournament.

Answer 6

Chapter 11.4, Problem 5E

(a)

To determine

To prove: ∑i=1nsi=∑i=1n(n−1−si) and interpret this result in the context of a round- robin tournament.

Answer 7

Chapter 11.4, Problem 5E

(a)

To determine

To prove: ∑i=1nsi=∑i=1n(n−1−si) and interpret this result in the context of a round- robin tournament.

Answer 8

(b)

To determine

To prove: ∑i=1nsi2=∑i=1n(n−1−si)2 and interpret this result in the context of a round- robin tournament.

Answer 9

(b)

To determine

To prove: ∑i=1nsi2=∑i=1n(n−1−si)2 and interpret this result in the context of a round- robin tournament.

Answer 10

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Answer 11

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Answer 12

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Answer 13

Ch. 11.1 - Prob. 1TFQ Ch. 11.1 - Prob. 2TFQ Ch. 11.1 - Prob. 3TFQ Ch. 11.1 - In a graph G with two odd vertices, 1 and 2 , the...Ch. 11.1 - If a graph G has six odd vertices, to solve the...Ch. 11.1 - Prob. 6TFQ Ch. 11.1 - Prob. 7TFQ Ch. 11.1 - In the weighted graph the Chinese Postman Problem...Ch. 11.1 - Prob. 9TFQ Ch. 11.1 - In the unweighted graph n, n odd, the Chinese...

To prove: ∑ i = 1 n s i = ∑ i = 1 n ( n − 1 − s i ) and interpret this result in the context of a round- robin tournament.

Solution Summary: The author analyzes how the sum of scores in a round-robin tournament is the total number of matches played in the tournament.

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To prove: ∑i=1nsi=∑i=1n(n−1−si) and interpret this result in the context of a round- robin tournament.

To prove: ∑i=1nsi2=∑i=1n(n−1−si)2 and interpret this result in the context of a round- robin tournament.

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Chapter 11 Solutions