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.

Guest Oct 14, 2019

#5

#8**+1 **

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**+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

#10**+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**

Melody Oct 16, 2019