combination calculator question

[dirkdigs]

i have 8 sets of 2 possible outcomes.


a vs b
c vs d
e vs f
g vs h
i vs j
k vs l
m vs n
o vs p


For each set i need to pick the correct letter. think of it as teams. (hockey or baseball teams). 2 possible outcomes for each of the 8 sets.


I must get all 8 correct. in other words select 8 correct outcomes for each set of 2.


can anybody help me with a way to calculate how many possible outcomes are possible?


thanks.

 

[DrPhil]

i have 8 sets of 2 possible outcomes.


a vs b
c vs d
e vs f
g vs h
i vs j
k vs l
m vs n
o vs p


For each set i need to pick the correct letter. think of it as teams. (hockey or baseball teams). 2 possible outcomes for each of the 8 sets.


I must get all 8 correct. in other words select 8 correct outcomes for each set of 2.


can anybody help me with a way to calculate how many possible outcomes are possible?


thanks.

Think of a decision tree. 1st choice, a or b, 2 possibilities
2nd choice (for either branch), c or d, 2*2 = 4 possibilities.
3rd choice, e or f, 2*2*2 = 2^3 = 8 possibilities
. . .
8th choice, o or p, ...

 

[dirkdigs]

Think of a decision tree. 1st choice, a or b, 2 possibilities
2nd choice (for either branch), c or d, 2*2 = 4 possibilities.
3rd choice, e or f, 2*2*2 = 2^3 = 8 possibilities
. . .
8th choice, o or p, ...

Do you know of any tool that can do a print out of such results?

if my calculations are correct that's 256 possibilities with 8 sets of 2.

 

[dirkdigs]

Think of a decision tree. 1st choice, a or b, 2 possibilities
2nd choice (for either branch), c or d, 2*2 = 4 possibilities.
3rd choice, e or f, 2*2*2 = 2^3 = 8 possibilities
. . .
8th choice, o or p, ...

smaller example . (4 instead of 8)
wpg vs tor
edm vs cgy
mtl vs van
la vs ny


how many possible combinations are possible ? I have to pick one winner for each game so 4 total picks.