Post by stanford2011 on Apr 19, 2012 15:35:57 GMT -5
A friend told me a team can make 15 substitutions in a game. I was trying to mathematically figure out the following:
A.) Based on the scenario outlined below, how many rotations can the team make in a game before it runs out of substitutions?
B.) What is the least amount of points a team could score before it runs out of substitutions? I assume that would mean each team alternate scoring a point.
Here is my scenario for the questions.
1.) The team always has to have 3 players accepting serve, no more and no less.
1.) The team has 1 libero and 2 defensive players available to play. It is my understanding the libero can go in and out at will and this is not counted as a substitution. These three players are used to accept the serve and 2 of them are always on the court when the team is in formation to accept serve.
2.) The team has one front row player who accepts serve every time and stays in the game through all rotations. This player always starts in the left front position. All other front players never accept serve, rotate back to serve and then sub out after serving.
4.) There are no other substitutions made other than the ones mentioned for the purposes of accepting serve.
The answers to questions A and B seem reasonably easy except I may not understand all the rules correctly. Is there anyone willing to figure this out and give an answer? Also let me know if my scenario violates any of the rules or is not possible to do for some reason. (I do understand this scenario limits the number of back row hitters. That is not my focus for the question.)
A friend told me a team can make 15 substitutions in a game. I was trying to mathematically figure out the following:
A.) Based on the scenario outlined below, how many rotations can the team make in a game before it runs out of substitutions?
B.) What is the least amount of points a team could score before it runs out of substitutions? I assume that would mean each team alternate scoring a point.
Here is my scenario for the questions.
1.) The team always has to have 3 players accepting serve, no more and no less.
1.) The team has 1 libero and 2 defensive players available to play. It is my understanding the libero can go in and out at will and this is not counted as a substitution. These three players are used to accept the serve and 2 of them are always on the court when the team is in formation to accept serve.
2.) The team has one front row player who accepts serve every time and stays in the game through all rotations. This player always starts in the left front position. All other front players never accept serve, rotate back to serve and then sub out after serving.
4.) There are no other substitutions made other than the ones mentioned for the purposes of accepting serve.
The answers to questions A and B seem reasonably easy except I may not understand all the rules correctly. Is there anyone willing to figure this out and give an answer? Also let me know if my scenario violates any of the rules or is not possible to do for some reason. (I do understand this scenario limits the number of back row hitters. That is not my focus for the question.)
Post by mikegarrison on Apr 19, 2012 16:44:58 GMT -5
This is actually a really simple problem which you have made much more complicated than it needs to be.
There are six spots. Two spots can be subbed for freely by the libero. So that leaves four spots. How many of those players play all around?
4: you use zero subs 3: You use 1 sub every three rotations 2: you use 2 subs every three rotations 1: you use 3 subs every three rotations 0: you use 4 subs every three rotations
A friend told me a team can make 15 substitutions in a game. I was trying to mathematically figure out the following:
A.) Based on the scenario outlined below, how many rotations can the team make in a game before it runs out of substitutions?
B.) What is the least amount of points a team could score before it runs out of substitutions? I assume that would mean each team alternate scoring a point.
Here is my scenario for the questions.
1.) The team always has to have 3 players accepting serve, no more and no less.
1.) The team has 1 libero and 2 defensive players available to play. It is my understanding the libero can go in and out at will and this is not counted as a substitution. These three players are used to accept the serve and 2 of them are always on the court when the team is in formation to accept serve.
2.) The team has one front row player who accepts serve every time and stays in the game through all rotations. This player always starts in the left front position. All other front players never accept serve, rotate back to serve and then sub out after serving.
4.) There are no other substitutions made other than the ones mentioned for the purposes of accepting serve.
The answers to questions A and B seem reasonably easy except I may not understand all the rules correctly. Is there anyone willing to figure this out and give an answer? Also let me know if my scenario violates any of the rules or is not possible to do for some reason. (I do understand this scenario limits the number of back row hitters. That is not my focus for the question.)
This is actually a really simple problem which you have made much more complicated than it needs to be.
There are six spots. Two spots can be subbed for freely by the libero. So that leaves four spots. How many of those players play all around?
4: you use zero subs 3: You use 1 sub every three rotations 2: you use 2 subs every three rotations 1: you use 3 subs every three rotations 0: you use 4 subs every three rotations
