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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 increasing order. 

 Feb 24, 2018
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If we choose  any four numbers from the first thousand integers, we will have

 

C(1000, 4)    different  sets of four numbers

 

And each can be arranged in 4!  ways  =  24 ways

 

But only one arrangement  of each of these sets is in the desired order

 

So....the probability  of the correct arrangement is just   1 / 24

 

 

cool cool cool

 Feb 25, 2018

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