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A baseballgame ended in 4 - 3.

a. How many different evolutions of the score are possible? (I don't know the exact translation but I mean like this: 1-0; 2-0; 3-0; 4-0; 4-1; 4-2; 4-3)

b. After the fifth inning of the same game the score was 2 - 2. How many different evolutions of the score are possible. 

 

c. The basketbal final in 2010 between the Celtics and the Lakers was played with a best-of-seven system, where they play seven games to determine the winner. The Lakers eventually won the final with an endscore of 4 - 3. Calculate the amount of evolutions of the score for this best-of-seven.

 Oct 14, 2019
 #1
avatar+6045 
+1

....

.
 Oct 14, 2019
edited by Rom  Oct 18, 2019
 #2
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Rom I think you misunderstood the question

Guest Oct 15, 2019
 #5
avatar+105683 
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deleted

 Oct 15, 2019
edited by Melody  Oct 17, 2019
 #6
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Wait so that means its supposed to be 12 choose 3 right?

Guest Oct 16, 2019
 #7
avatar+105683 
+1

Yes   wink

Melody  Oct 16, 2019
 #8
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Wait, so for the first question why cant we do this:

 

****B****B****B**** (because A got 4 points and B got 3) and then the answer will be 16 choose 4=1820

Guest Oct 16, 2019
 #9
avatar+105683 
+1

That is a very good question.

It seems my logic is rubbish.

I did say at the very beginning that I was not sure if it was right.

 

I should have tested that for myself.  

It is excellent that you did not just take my word for it.

 

I will play around with it for a bit to see if I can work out why my logic is flawed.

Ok - that was not so hard. I can see why it is flawed.

 

Edit:   Continuation of sage.

I can see why it was wrong!

I have said all those star postions are different but they are not.  I think I can fix this. 

Wait here for the next installment!

Melody  Oct 16, 2019
edited by Melody  Oct 16, 2019
edited by Melody  Oct 16, 2019
 #10
avatar+105683 
+2

Attempt TWO - I think it is correct now.  

 

A baseballgame ended in 4 - 3.        Lakers get 4 and Celtics get 3

a. How many different evolutions of the score are possible? (I don't know the exact translation but I mean like this: 1-0; 2-0; 3-0; 4-0; 4-1; 4-2; 4-3)

LLLLCCC

We have 7 scores. and I want to know how many places I can slot in 3 Celtic scores between the 4 Lakers ones. That is 7C3 = 35

or

We have 7 scores. and I want to know how many places I can slot in 4 Celtic scores between the 3 Lakers ones. That is 7C4 = 35

 

 

b. After the fifth inning of the same game the score was 2 - 2. How many different evolutions of the score are possible. 

LLCC   4C2=6      then    LLC     3C1=3

6*3=18

 

c. The basketbal final in 2010 between the Celtics and the Lakers was played with a best-of-seven system, where they play seven games to determine the winner. The Lakers eventually won the final with an endscore of 4 - 3. Calculate the amount of evolutions of the score for this best-of-seven.

LLLCCC   6C3 = 20     then  L   

20*1 = 20

 Oct 16, 2019

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