SOLUTION: <b><i> Determine the number of possible outcomes and please show work</b></i> How many different ways can first, second, and third place be awarded to the first three finishers

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Question 35741: Determine the number of possible outcomes and please show work
How many different ways can first, second, and third place be awarded to the first three finishers out of 150 people racing?
Thank you! :)

Answer by venugopalramana(3286)   (Show Source): You can put this solution on YOUR website!
How many different ways can first, second, and third place be awarded to the first three finishers out of 150 people racing?
Thank you! :)
ANY ONE OF THE PEOPLE CAN BE FIRST..SO WE HAVE 150 POSSIBILITIES
THEN ANY ONE OF REMAINING 149 CAN COME SECOND....IN...149 WAYS
FINALLY ANY ONE OF REMAINING 148 CAN BE THIRD....IN ..148 WAYS
SO DIFFERENT NUMBER OF POSSIBILITIES AR150*149*148

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