While waiting at the bus stop, a shifty looking weirdo approaches you and strikes up a conversationFrom the conversationyou manage to learn that this fellow, who goes by the name of Todd Karenheimer, apparently makes his living by going around and betting people that they can't answer his questions of math and or logicSince he seems quite persistentyou reluctantly agree to try to answer his question in the hopes that leave you alone. After some hagglingyou agree to pay Todd $$5$ if you can't answer his question, whereas he will pay you $if you can Here is his question : Suppose I randomly choose $4$ distinct integers between $101$ and $160$ inclusive$)$Is it true, or is it not true, that at least $2$ of them must differ by no more than Making sure you fully explain the details so you won't have to pay on some sort of technicality$)$how do you answer Todd's question?