The digits 1,2,3,4,5,6,7 are written on separate cards.Three are drawn and placed in the order of drawing. In how many ways can numbers that are greater than 500 be formed? Please explain it in layman's terms... Thank you.


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Oddman answered
In order to make a number greater than 500, the first digit drawn must be 5, 6, or 7. That is, it must be one of three specific digits. The next number drawn will be any of the 6 remaining cards, and the final number drawn will be any of the 5 remaining cards. In total, there will be 3*6*5 = 90 ways to draw the cards so that a number greater than 500 will result.

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