A baseball league has six teams: A, B, C, D, E, and F. All games are played at 7:30 P.M. on Fridays, and there are sufficient fields for each team to play a game every Friday night. Each team must play each other team exactly once, and the following conditions must be met.1. Team F plays team D first and team A second.2. Team E plays team B first and team C third.3. Team C plays team A first.On the first Friday, which of the following pairs of teams play each other?F and D; E and B; C and AF and D; E and C; B and A F and E; C and B; D and AF and E; C and A; D and BF and C; E and B; D and A
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.
A baseball league has six teams: A, B, C, D, E, and F. All games are played at 7:30 P.M. on Fridays, and there are sufficient fields for each team to play a game every Friday night. Each team must play each other team exactly once, and the following conditions must be met.
1. Team F plays team D first and team A second.
2. Team E plays team B first and team C third.
3. Team C plays team A first.
On the first Friday, which of the following pairs of teams play each other?
F and D; E and B; C and A
F and D; E and C; B and A
F and E; C and B; D and A
F and E; C and A; D and B
F and C; E and B; D and A
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
