Scienceray > Mathematics

Baseball Problem

A Math Problem about baseball I solved with a simple rotation schedule.

Player 1

Fielding:

Game One - Catcher (first 2 innings only)

Game Two - 3rd Base

Game Three - Left Field

Game Four - Shortstop (first 2 innings only)

Game Five - Left Center Field

Game Six - 2nd Base

Game Seven - catcher (last 2 innings only)

Game Eight - Right Center Field

Game Nine - Pitcher

Game Ten - Shortstop (last 2 innings only)

Game Eleven - Left Field

Game Twelve - 1st Base

Batting:

Start in batting position 1 and move down one position every game until you reach 12, then cycle back to 1 repeat.

Player Two

Fielding:

Game One - 3rd Base (first 2 innings only)

Game Two - Left Field

Game Three - Shortstop

Game Four - Left Center Field (first 2 innings only)

Game Five - Right Field

Game Six - Right Center Field

Game Seven - 3rd Base (last 2 innings only)

Game Eight - Pitcher

Game Nine -Right Field

Game Ten - Left Center Field (last 2 innings only)

Game Eleven - 1st Base

Game Twelve - Catcher

Batting:

Start in batting position 2 and move down one position every game until you reach 12, then cycle back to 1 and shift down again until you reach 2, then repeat.

Player Three

Fielding:

Game One - Left Field

Game Two - Shortstop (first 2 innings only)

Game Three - Left Center Field

Game Four - 2nd Base

Game Five - Right Center Field (first 2 innings only)

Game Six - Pitcher

Game Seven - Right Field

Game Eight - Shortstop (last 2 innings only)

Game Nine - 1st Base

Game Ten - Catcher

Game Eleven - Right Center Field (last 2 innings only)

Game Twelve -3rd Base

Batting:

Start in batting position 3 and move down one position every game until you reach 12, then cycle back to 1 and shift down again until you reach 3, then repeat.

Player Four

Fielding:

Game One - Shortstop

Game Two - Left Center Field (first 2 innings only)

Game Three - 2nd Base

Game Four - Right Center Field

Game Five - Pitcher (first 2 innings only)

Game Six -

Game Seven -

Game Eight -

Game Nine -

Game Ten -

Game Eleven -

Game Twelve -

Batting:

Start in batting position 4 and move down one position every game until you reach 12, then cycle back to 1 and shift down again until you reach 4, then repeat.

Player Five

Fielding:

Game One -

Game Two -

Game Three -

Game Four -

Game Five -

Game Six -

Game Seven -

Game Eight -

Game Nine -

Game Ten -

Game Eleven -

Game Twelve -

Batting:

Start in batting position 5 and move down one position every game until you reach 12, then cycle back to 1 and shift down again until you reach 5, then repeat.

Player Six

Fielding:

Game One -

Game Two -

Game Three -

Game Four -

Game Five -

Game Six -

Game Seven -

Game Eight -

Game Nine -

Game Ten -

Game Eleven -

Game Twelve -

Batting:

Start in batting position 6 and move down one position every game until you reach 12, then cycle back to 1 and shift down again until you reach 6, then repeat.

Player 7

Fielding:

Game One -

Game Two -

Game Three -

Game Four -

Game Five -

Game Six -

Game Seven -

Game Eight -

Game Nine -

Game Ten -

Game Eleven -

Game Twelve -

Batting:

Start in batting position 7 and move down one position every game until you reach 12, then cycle back to 1 and shift down again until you reach 7, then repeat.

Player Eight

Fielding:

Game One -

Game Two -

Game Three -

Game Four -

Game Five -

Game Six -

Game Seven -

Game Eight -

Game Nine -

Game Ten -

Game Eleven -

Game Twelve -

Batting:

Start in batting position 8 and move down one position every game until you reach 12, then cycle back to 1 and shift down again until you reach 8, then repeat.

Player Nine

Fielding:

Game One -

Game Two -

Game Three -

Game Four -

Game Five -

Game Six -

Game Seven -

Game Eight -

Game Nine -

Game Ten -

Game Eleven -

Game Twelve -

Batting:

Start in batting position 9 and move down one position every game until you reach 12, then cycle back to 1 and shift down again until you reach 9, then repeat.

Player Ten

Fielding:

Game One -

Game Two -

Game Three -

Game Four -

Game Five -

Game Six -

Game Seven -

Game Eight -

Game Nine -

Game Ten -

Game Eleven -

Game Twelve -

Batting:

Start in batting position 10 and move down one position every game until you reach 12, then cycle back to 1 and shift down again until you reach 10, then repeat.

Player Eleven

Fielding:

Game One -

Game Two -

Game Three -

Game Four -

Game Five -

Game Six -

Game Seven -

Game Eight -

Game Nine -

Game Ten -

Game Eleven -

Game Twelve -

Batting:

Start in batting position 11 and move down one position every game until you reach 12, then cycle back to 1 and shift down again until you reach 11, then repeat.

Player Twelve

Fielding:

Game One - Catcher (last 2 innings only)

Game Two - 3rd Base

Game Three - Left Field

Game Four - Shortstop

Game Five - Left Center Field

Game Six - Second Base (first 2 innings only)

Game Seven - Second Base (last 2 innings only)

Game Eight - Right Center Field

Game Nine - Pitcher

Game Ten - Right Field

Game Eleven - 1st Base

Game Twelve - Catcher (last 2 innings only)

Batting:

Start in batting position 12, then go to one and rotate down one batting position at the start of every game until you reach twelve again.

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