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Bunuel
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In a race, at least 3 and at most 5 runners will vie for gold, silver 28 May 2019, 00:53
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E
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45% (medium)

Question Stats:

64% (01:45) correct 36% (01:47) wrong based on 222 sessions

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In a race, at least 3 and at most 5 runners will vie for gold, silver, and bronze medals. Which of the following could represent the total number of unique ways to distribute the three medals among the participants?

I. 6
II. 24
III. 60

A. I only
B. II only
C. III only
D. I and II only
E. I, II and III
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E
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In a race, at least 3 and at most 5 runners will vie for gold, silver 28 May 2019, 01:16
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Bunuel
In a race, at least 3 and at most 5 runners will vie for gold, silver, and bronze medals. Which of the following could represent the total number of unique ways to distribute the three medals among the participants?

I. 6
II. 24
III. 60

A. I only
B. II only
C. III only
D. I and II only
E. I, II and III
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for 3 people; 3*2*1 ; 6
for 4 people; 4*3*2 ; 24
for 5 people; 5*4*3 ; 60
IMO E ;
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In a race, at least 3 and at most 5 runners will vie for gold, silver 28 May 2019, 05:45
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Bunuel
In a race, at least 3 and at most 5 runners will vie for gold, silver, and bronze medals. Which of the following could represent the total number of unique ways to distribute the three medals among the participants?

I. 6
II. 24
III. 60

A. I only
B. II only
C. III only
D. I and II only
E. I, II and III
Show more

Bunuel: I got 6,24 and 60 assuming, there are 3 separate groups of people as (A,B,C) / (X,Y,Z,W) and / (E,F,G,H,I). If there is a single group say (A,B,C,D,E) then answer will be different. So how to assume that there are three independent and separate groups.
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In a race, at least 3 and at most 5 runners will vie for gold, silver 01 Jun 2019, 06:24
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Bunuel
In a race, at least 3 and at most 5 runners will vie for gold, silver, and bronze medals. Which of the following could represent the total number of unique ways to distribute the three medals among the participants?

I. 6
II. 24
III. 60

A. I only
B. II only
C. III only
D. I and II only
E. I, II and III
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3P3 = 3 x 2 x 1 = 6

4P3 = 4 x 3 x 2 = 24

5P3 = 5 x 4 x 3 = 60

Answer: E
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In a race, at least 3 and at most 5 runners will vie for gold, silver 22 Dec 2025, 18:33
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Bunuel
In a race, at least 3 and at most 5 runners will vie for gold, silver, and bronze medals. Which of the following could represent the total number of unique ways to distribute the three medals among the participants?

I. 6
II. 24
III. 60

A. I only
B. II only
C. III only
D. I and II only
E. I, II and III
Show more

Permutation question because the order of the medals matters. Three slots available, so the entire factorial won't be needed, just last 3 numbers.

3 runners: \(3*2*1=6\)
4 runners: \(4*3*2=24\)
5 runners: \(5 *4*3=60\)

Therefore answer is E.
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