Counting A certain bas ball team has 23 players, only nine can be on the field a

Question

Counting A certain bas ball 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 3 How many ways are there to fill the nine field positions from among the 23 players (taking account of the position each player will have)? (Q3)

Explanation / Answer

p = In this case, the order or the arrangement of the players on the field positions also matters.

So in this case we have to apply the formula for permutations.

Number of ways of filling 9 positions from among 23 players = 23P9 = (23!)/(14!) = 296541907200

Hope this helps !

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---