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.
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
+118608 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!
+118608 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
