SOLUTION: if 4 numbers from 1 to 1000 are chosen at random, one at a time, find the probability that they will be chosen in decreasing order

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Question 1134624: if 4 numbers from 1 to 1000 are chosen at random, one at a time, find the probability that they will be chosen in decreasing order
Answer by ikleyn(52780) About Me  (Show Source):
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if 4 highlight%28different%29 numbers from 1 to 1000 are chosen at random, one at a time, find the probability that they will be chosen in decreasing order
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Solution 

When 4 numbers are chosen, there are 4! possible permutations of them, influencing to their order.


Of this 4! = 1*2*3*4 = 24 permutations, only one provides the requested decreasing order.


Therefore, the probability under the problem's question is  1%2F24.