Question

In the American Baseball League, a designated hitter may be used. How may batting orders is it possible for a manager to use?(There are 9 regular players on a team)

Answer 1

Hi across!

Answer 2

I think that if I have 9 players I have 9! batting orders.

Answer 3

But I'm confused with the "hitter" part of the problem.

Answer 4

Perhaps a designated hitter is one who bats in place of another player, but my Baseball terminology is almost null.

Answer 5

Mine too =/.

Answer 6

But if you're right then I can substitute any of the regular players.

Answer 7

Assuming what I stated above is the case, then you'd have to compute the total number of batting orders when no designated hitter is used and when one substitutes each player.

Answer 8

Hi Turing!

Answer 9

don't look I me I don't know baseball OR probability.

Answer 10

So a batting order implies that I need to use permutations, because the baseballers? are different.

Answer 11

That's correct; you're dealing with batting _orders_.

Answer 12

Ohh I though most americans knew baseball.

Answer 13

stereotypes, jeesh lol

Answer 14

if it is just 9 players you would have 9! but since you can substitute the designated hitter for any one of them i am going to guess it is 9! + 9 (you cannot have 10 people in a batting order, so it is not 10!)

Answer 15

americans in general yes,
americans spending the evening on the math part of openstudy, not so much

Answer 16

btw i could easily be wrong here

Answer 17

Lol, you're so right sattellite,

Answer 18

Well, when you have a designated hitter, this can substitute any player. So, it'd be better to treat every substitution as a different team; you'd end up with 10 different teams: a no-substitution team and one for each player the designated hitter can substitute.

Answer 19

and each team can be selected in P(10,9)*C(10,1)?

Answer 20

Howcome?