How many ways are there of filling in the blanks for the following (fictitious) soccer tournament? A tournament bracket contains four labeled entries and three unlabeled entries. The bracket ends with a blank entry in the third column. Two entries in the second column stem from this entry. The first entry in the second column is blank. Two entries in the first column stem from this entry. The first entry in the first column contains "North Carolina." The second entry in the first column contains "Central Connecticut." The second entry in the second column contains "Syracuse." Two entries in the first column stem from this entry. The third entry in the first column contains "Virgina." The fourth entry in the first column is blank.
How many ways are there of filling in the blanks for the following (fictitious) soccer tournament? A tournament bracket contains four labeled entries and three unlabeled entries. The bracket ends with a blank entry in the third column. Two entries in the second column stem from this entry. The first entry in the second column is blank. Two entries in the first column stem from this entry. The first entry in the first column contains "North Carolina." The second entry in the first column contains "Central Connecticut." The second entry in the second column contains "Syracuse." Two entries in the first column stem from this entry. The third entry in the first column contains "Virgina." The fourth entry in the first column is blank.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter12: Angle Relationships And Transformations
Section: Chapter Questions
Problem 3PTTS
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Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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How many ways are there of filling in the blanks for the following (fictitious) soccer tournament?
A tournament bracket contains four labeled entries and three unlabeled entries. The bracket ends with a blank entry in the third column. Two entries in the second column stem from this entry.
- The first entry in the second column is blank. Two entries in the first column stem from this entry.
- The first entry in the first column contains "North Carolina."
- The second entry in the first column contains "Central Connecticut."
- The second entry in the second column contains "Syracuse." Two entries in the first column stem from this entry.
- The third entry in the first column contains "Virgina."
- The fourth entry in the first column is blank.
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