Compute C 8,3 . Compute C 10,10 . In the Cash Now lottery game there are 13 fina

Question

Compute C8,3.

Compute C10,10.

In the Cash Now lottery game there are 13 finalists who submitted entry tickets on time. From these 13 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.)
1

The University of Montana ski team has eleven entrants in a men's downhill ski event. The coach would like the first, second, and third places to go to the team members. In how many ways can the eleven team entrants achieve first, second, and third places?
1

There are 12 qualified applicants for 4 trainee positions in a fast-food management program. How many different groups of trainees can be selected?
1

Explanation / Answer

c8,3=56

c10,10=1

1)first select any 13

award any of 3 prizes

select any 12

award any of 2 prizes

select any 11

award last prize

total ways=13*12*11*3*2=10296

2)first place any 11

second to any 10

third to any of 9

total=11*10*9=990

3)12c4=495

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