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2022 tickets are marked with different integers from 1 to 2022 and placed in a bowl. How many tickets are to be drawn from the ball at random two ensure that the integer of a ticket drawn is a factor of the integer of another ticket drawn

 Mar 26, 2022
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 Mar 26, 2022
edited by Guest  Mar 26, 2022
 #2
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2022 / 2  +  1 ==1012

 

We cannot pick two numbers from that range with ratio greater than 2022/1012<2.

 

Any number less then 1012 is a factor of some number between 1012 and 2022

 

The answer is 1011+1=1012.

 Mar 27, 2022

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