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o-na [289]
3 years ago
13

In the Cash Now lottery game there are 8 finalists who submitted entry tickets on time. From these 8 tickets, three grand prize

winners will be drawn. The first prize is one million dollars, the second prize is one hundred thousand dollars, and the third prize is ten thousand dollars. Determine the total number of different ways in which the winners can be drawn. (Assume that the tickets are not replaced after they are drawn.)
Mathematics
1 answer:
alexgriva [62]3 years ago
3 0

Answer:

The number of ways is  \left n} \atop {}} \right. P_r  =  336

Step-by-step explanation:

From the question we are told that

   The number of tickets are   n = 8

    The number of finalist are r   =3

Generally the number of way by which this winners can be drawn and arrange in the order of   1^{st} , \  2nd ,  \  3rd    is mathematically represented as

             \left n} \atop {}} \right. P_r  =  \frac{n\ !}{(n-r) !}

substituting values

             \left n} \atop {}} \right. P_r  =  \frac{ 8!}{(8-3) !}

           \left n} \atop {}} \right. P_r  =  \frac{ 8* 7*6*5*4*3*2*1}{ 5*4*3*2*1}

           \left n} \atop {}} \right. P_r  =  336

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