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wlad13 [49]
2 years ago
15

n the Cash Now lottery game there are 10 finalists who submitted entry tickets on time. From these 10 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.)
Business
1 answer:
vaieri [72.5K]2 years ago
7 0

Answer:

The total number of different ways in which the winners can be drawn is 720.

Explanation:

P (10,3) = \frac{10!}{(10-3)!}

= \frac{10!}{7!}

= 10(9)(8)

= 720

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Delvig [45]

Answer:

Holding period return = 14.49%, Standard Deviation = 11.08 approx

Explanation:

Eco Scenario    Dividend     Stock Price  HPR    Prob     Expected HPR

Boom                         3                 60         26        0.33        8.58

Normal                       1.2               58        18.4       0.33       6.072

Recession                  0.75            49        (0.5)      0.33      <u> (0.165)</u>

              Expected HPR                                                       14.49%

<u>Calculation Of Standard Deviation</u>

                                      (A)                     (B)           (A) - (B)  

P_{1}          P_{0}       D_{1}       Given return   Exp return       d          p           p.d^{2}

60        50      3            26                     14.49         11.51       0.33      43.718    

58        50      1.2          18.4                   14.49         3.91       0.33      5.045

49        50      0.75      (0.5)                    14.49        14.99     0.33      <u> 74.15</u>

                                                                                         Total p.d^{2} =  122.91

wherein, d = deviation

               p = probability

               Standard Deviation = \sqrt{Total\ p.d^{2} }  = \sqrt{122.91} = 11.08  

<u></u>

<u>Working Note</u>:

Holding period return = \frac{P_{1}\ -\ P_{0} \ +\ D_{1}  }{P_{0} }

Boom = \frac{60\ -\ 50 \ +\ 3  }{50 }   = 26%

Similarly, for normal = \frac{58\ -\ 50 \ +\ 1.2  }{50 }  = 18.4%

Recession = \frac{49\ -\ 50 \ +\ 0.75  }{50}  = (0.5)%

figure in bracket indicates negative return

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