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(52781)   (Show Source): You can put this solution on YOUR website!
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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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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  .


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