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iVinArrow [24]
2 years ago
13

Now suppose that not every player can play in every position. The outfielders (left field, center field, right field) can play a

ny outfield position, the infielders (1st base, 2nd base, 3rd base, short stop) can play any infield position, the pitchers can only pitch, and the catchers can only catch. Suppose a certain team has 20 players, of whom 3 are catchers, 4 are outfielders, 6 are infielders, and 7 are pitchers.
How many ways can the team assign field positions to 9 of the 19 players, putting each of the 9 selected players in a position he can play, and ensuring that all 9 field positions are filled?
Mathematics
1 answer:
VladimirAG [237]2 years ago
8 0

Answer:

The team can assign field positions to 9 of the 19 players in 181,440 different ways.

Step-by-step explanation:

Since the outfielders (left field, center field, right field) can play any outfield position, the infielders (1st base, 2nd base, 3rd base, short stop) can play any infield position, the pitchers can only pitch, and the catchers can only catch, supposing a certain team has 20 players, of whom 3 are catchers, 4 are outfielders, 6 are infielders, and 7 are pitchers, to determine how many ways can the team assign field positions to 9 of the 19 players, putting each of the 9 selected players in a position he can play, and ensuring that all 9 field positions are filled, the following calculation must be performed:

3 x 7 x 6 x 5 x 4 x 3 x 4 x 3 x 2 = X

21 x 30 x 12 x 24 = X

630 x 12 x 24 = X

181,440 = X

Therefore, the team can assign field positions to 9 of the 19 players in 181,440 different ways.

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Furkat [3]

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Step-by-step explanation:

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According to this passage, Georgia was weary of being made fun of because of Joseph Tank, which was one of the main reasons she decided to wed him. We can infer from this that Georgia was generally fed up with being made fun of because of Joseph Tank.

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Reading comprehension questions always have a high chance of being scored. A passage and some questions are given to us. Even if the information in the passage deviates from actual facts, it must be used to answer the questions.

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