Counting A certain baseball team has 23 players. Only nine can be on the field a
ID: 3047788 • Letter: C
Question
Counting A certain baseball team has 23 players. Only nine can be on the field at a time. Each of the nine players on the field has a distinct field position: pitcher, catcher, first baseman, second baseman, third baseman, short stop, left field, right field, or center field. Assume for the moment that every player is qualified to play every position. Problem 4 How many ways are there to fill either the pitcher or catcher field position (but not both) from among the 23 players (leaving the other field positions empty)? (Q4)Explanation / Answer
Solution:
total number of players = 23
every player is qualified for every position i.e every position has 16 choises
number of ways of filling either pitcher or catcher = 23C1 + 23C1 = 23+23 = 46