Statistics - combinations of subsets

AI Thread Summary
Springfield Football Club aims to form a team consisting of 3 forwards, 4 mid-fielders, 3 defenders, and 1 goalkeeper from their available players. The initial calculation proposed was (8C3) x (6C4) x (5C3) x (2C1) to determine the number of possible teams. A participant questioned the validity of this approach, suggesting that once a player is chosen, they cannot be selected again, leading to a misunderstanding about the combination formula. However, it was clarified that the original calculation is indeed correct, as order does not matter in combinations. The discussion emphasizes the importance of understanding combinations in team selection scenarios.
sara_87
Messages
748
Reaction score
0
Springfield Football Club plan to field a team of 3 forwards, 4 mid-fielders and 3 defenders
and a goalkeeper. Assuming they have 8 forwards, 6 mid-fielders, 5 defenders and 2 goal-
keepers on their books how many teams can they make?

i tried doing:
(8C3) x (6C4) x (5C3) x (2C1)
but ithink it's wrong for some reason...is it wrong?
 
Last edited:
Physics news on Phys.org
once you choose one person then you can't choose them again...therefore if you were to choose 3 people out of 10...you have 10 to choose from first, then 9 to choose from and 8 for the third choose. Therefore you have 10 x 9 x 8. I hope that's right?
 
sara_87 said:
Springfield Football Club plan to field a team of 3 forwards, 4 mid-fielders and 3 defenders
and a goalkeeper. Assuming they have 8 forwards, 6 mid-fielders, 5 defenders and 2 goal-
keepers on their books how many teams can they make?

i tried doing:
(8C3) x (6C4) x (5C3) x (2C1)
but ithink it's wrong for some reason...is it wrong?
I think you have it right.
 
I was wrong i thought for some reason order mattered when choosing. Sorry
 

Thread 'Deductive proof in logic formal systems'

I was reading documentation about the soundness and completeness of logic formal systems. Consider the following $$\vdash_S \phi$$ where ##S## is the proof-system making part the formal system and ##\phi## is a wff (well formed formula) of the formal language. Note the blank on left of the turnstile symbol ##\vdash_S##, as far as I can tell it actually represents the empty set. So what does it mean ? I guess it actually means ##\phi## is a theorem of the formal system, i.e. there is a...
View full post »

Similar threads

MHB Choosing a Dissertation Committee: Combination Permutation Dilemma
Replies
13
Views
6K
Why doesn't (8c1)(13c2) work for choosing a team with at least one woman?
Replies
2
Views
2K
Finding Correct Combination/Permutation Rule for Statistics Project
Replies
12
Views
4K
But the answer is supposed to be 120.Can you explain why?
Replies
4
Views
5K
MHB Probability of Combinations and Permutations
Replies
4
Views
5K
Simple statistics combinations/permutation problem
Replies
6
Views
5K
Problems on permutation and combination
Replies
2
Views
4K
Calculating Number of Distinct x Tuples from a Set A
Replies
31
Views
10K
Challenge Math Challenge - August 2020
3
Replies
104
Views
16K
How Do You Calculate Microstates for a Constrained Spin System?
Replies
1
Views
2K

Hot Threads

Recent Insights

Back
Top