Question 1177035: There are 8 horses in a race at Retama Park. You could win a BIG jackpot if you can pick the finishing order for ALL 8 of the horses. Find the number of possible orders in which the horses can finish.
Found 2 solutions by math_tutor2020, ikleyn: Answer by math_tutor2020(3817) (Show Source):
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There are 8 ways to select a first place finisher
Then 8-1 = 7 ways to pick the horse for second place; since we cannot have the first place person repeat.
For third place, there are 8-2 = 6 ways
This process keeps going until we hit 1
We have this count down: 8,7,6,5,4,3,2,1
Multiplying those values out will get the final answer
8*7*6*5*4*3*2*1 = 40,320
We can shorten this to factorial notation
8! = 40,320
Answer by ikleyn(52803) (Show Source):
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