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Twixt perhaps I am n ot getting your point. Look there are 4 groups. Now any one of the group will pull, So I guess there is no distinction between the groups. had it been 1,2,3 and 4, and if were asked one group to pull, then they would be distinct.
Let me know your opinion.
This is driving me insane!!
I am sorry I am afraid it was a second poor post anyway my last point il still available...
Distinct / not distinct : I did not properly read the question, I think there is no distinction between the groups here as we just know there are 4 sleds. I previously thought just 1 of them will race.
ways to select a pair out of 8 people for sled#1: 8C2
ways to select a pair out of 6 people for sled#2: 6C2
ways to select a pair out of 4 people for sled#3: 4C2
ways to select a pair out of 2 people for sled#4: 2C2
8c2 * 6c2 * 4c2 * 2c2 = 2520
The sleds are distinct because it's one of 4 sleds in a race. Hence, you don't divide by 4! I don't think you would like your winning sled to be mixed up with another number as it wins the race