In the cash now lottery game there are 10 finalists who submittedentry tickets o

Question

In the cash now lottery game there are 10 finalists who submittedentry tickets on time. from these 10 tickets, three grand prizewinners will be drawn. the first prize is one million dollars, thesecond prize is one hundred thousand dollars, and the third prizeis ten thousand dollars.
Determine the total number of different ways in which the winnerscan be drawn. (assume that the tickets are not replaced after theyare drawn).
Determine the total number of different ways in which the winnerscan be drawn. (assume that the tickets are not replaced after theyare drawn).

Explanation / Answer

There are 3 prices and 10 finalist who can win this prices: 10 people can win the first price 9 people can win the second price, because someone has won thefirst price so he can't win this price anymore With the same reasoning, 8 people can win the third price You can multiply this to obtain the total number ofpossibilities 10*9*8=720

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