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PLEASE ANSWER ALL THREE 1. In a track meet that has 12 runners competing in the

ID: 3033315 • Letter: P

Question

PLEASE ANSWER ALL THREE

1. In a track meet that has 12 runners competing in the 400 meter race, how many ways can they place 1st, 2nd, and 3rd?

36

12!

1,320

1,728

2. A band teacher is taking some of her students to play at the town fair. If she is taking 1 trumpeter, 1 saxophonist, 1 drummer, 3 clarinetists, and 2 flutists, how many ways can she arrange them?

40,320

6,720

3,360

64

3. Students were asked to rank their preferences for watching the following sports: baseball, football, soccer, volleyball, hockey, and softball.  How many different rankings are possible?

720

36

6

46,656

A.

36

B.

12!

C.

1,320

D.

1,728

Explanation / Answer

Dear Student Thank you for using Chegg !! Gven that there are 12 runners in the track No. of ways of selection of 3 people for 1st , Second nd thrid position = 12C3 = 220 No of ways of arrangement of there 3 selected people in 1st second and thirs position = 3! = 6 Hence by fundamental principal of multiplication total number of ways = 12C3 X 3! = 1320 Solution Option C Kindly note that as per Chegg policy, an expert has to answer 1 qestion at a time.

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