The results of 21 football matches (win, lose,draw) are to be predicted. The no. of different forecasts that can contain 18 correct results is
Each football match has three options of results.
So 21 matches has 63 options for results
Now, different forecast this line .....
This means that each forecast has predicted result for each 21 matches and it happens to be that each forecast's prediction contains 18 correct and 3 wrong .
It CANNOT happen that one of the forecast has predicted 17 correct or 20 correct .... that is not my required .
Now also I don't know how many forecasts are there in total .
What is the meaning of Different forecasts ?
Suppose one forecast is predicted by one person and another forecast is another person like this?
Or every forecasts shall have 18 results predicted in each *Unique* combinations .
Forecast 1 has 18 th match , 20 th match as win .
Whereas forecast 2 predictions are same as 1 except 18 th match and 20th match as loss ( so in two matches they beg to differ).
If so,
18 results means 18 matches; we need to consider any 18 different matches out of 21 .
21C18 this gives us all possible unique combination of 18 matches which translates to each new 18 correct results predictions of each different forecast ?
Each football match has three options of results.
So 21 matches has 63 options for results
Now, different forecast this line .....
This means that each forecast has predicted result for each 21 matches and it happens to be that each forecast's prediction contains 18 correct and 3 wrong .
It CANNOT happen that one of the forecast has predicted 17 correct or 20 correct .... that is not my required .
Now also I don't know how many forecasts are there in total .
What is the meaning of Different forecasts ?
Suppose one forecast is predicted by one person and another forecast is another person like this?
Or every forecasts shall have 18 results predicted in each *Unique* combinations .
Forecast 1 has 18 th match , 20 th match as win .
Whereas forecast 2 predictions are same as 1 except 18 th match and 20th match as loss ( so in two matches they beg to differ).
If so,
18 results means 18 matches; we need to consider any 18 different matches out of 21 .
21C18 this gives us all possible unique combination of 18 matches which translates to each new 18 correct results predictions of each different forecast ?
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