1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
o-na [289]
2 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]2 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

You might be interested in
Multiply (x+3)(x-4)<br> What is the middle term in the simplified product
nalin [4]

<em>Hope</em><em> </em><em>this</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>.</em>

4 0
3 years ago
Find the taylor polynomial t3(x) for the function f centered at the number
olga nikolaevna [1]
e^{-4x}=\displaystyle\sum_{n=0}^\infty\frac{(-4x)^n}{n!}=1+(-4x)+\dfrac{(-4x)^2}2+\dfrac{(-4x)^3}6+\cdots
e^{-4x}=1-4x+8x^2-\dfrac{32x^3}3+\cdots

\sin2x=\displaystyle\sum_{n=0}^{\infty}\frac{(-1)^k(2x)^{2k+1}}{(2k+1)!}=(2x)-\dfrac{(2x)^3}6+\cdots
\sin2x=2x-\dfrac{4x^3}3+\cdots

e^{-4x}\sin2x=\left(1-4x+8x^2-\dfrac{32x^3}3+\cdots\right)\left(2x-\dfrac{4x^3}3+\cdots\right)
e^{-4x}\sin2x=2x-8x^2+\dfrac{44x^3}3+\cdots

\implies T_3(x)=2x-8x^2+\dfrac{44x^3}3
5 0
3 years ago
4. A chef prepared five chocolate tortes for a dinner party. The guests consumed 2 5 ∕ 16 tortes. How many tortes are left? A. 3
d1i1m1o1n [39]
5-2 5/16
Convert the second term to improper fraction;
5-\frac{37}{16}
=\frac{80}{16} - \frac{37}{16}
=\frac{43}{16}
=2\frac{11}{16}
6 0
2 years ago
7(-8+x)=9-6x<br> Please take me through the steps to answer the equation.
GalinKa [24]

7(-8+x)=9-6x

distribute

-56 +7x = 9 -6x

add 6x to each side

-56 +13x = 9

add 56 to each side

13x =65

divide by 13

x=5

Answer: x=5

5 0
3 years ago
Read 2 more answers
Help is it true or false?
Aliun [14]

Answer:

false

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Assume that y varies directly as x.
    7·2 answers
  • What mutiplication equals to 1400
    5·1 answer
  • What is the prime factorization of 40?<br> 1. 2x5<br> 2. 2x20<br> 3. 2x2x2x5<br> 4. 2x2x4x5
    11·2 answers
  • Use the discriminant to describe the roots of each equation. Then select the best description. 2m2 + 3 = m double root real and
    9·2 answers
  • the ratio of the number of skiers who bought passes to the number of snowboaders who bought season passes is 1:2 . if 1250 more
    7·1 answer
  • The same price of an item is $48 after a 40% discount what was the original price
    9·1 answer
  • Only answer if you know it please. Aron measured the heights of his plants. The nights in inches are 10, 11, 13, 15, 17, 18, 19,
    13·2 answers
  • Review the graph of function f(x), which is defined for –4 &lt; x ≤ 2.
    9·1 answer
  • Does anyone know how to like graph it for me like just tell me where they go please and thank you!
    9·1 answer
  • To rent a certain meeting room, a college charges a reservation fee of $39 and an additional fee of $5.30 per hour. The math clu
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!