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# A football team has 99 players. Each player has a uniform nu

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A football team has 99 players. Each player has a uniform nu [#permalink]

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08 Feb 2013, 20:12
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A football team has 99 players. Each player has a uniform number from 1 to 99 and no two players share the same number. When football practice ends, all the players run off the field one-by-one in a completely random manner. What is the probability that the first four players off the field will leave in order of increasing uniform numbers (e.g., #2, then #6, then #67, then #72,etc) ?

(A) 1/64
(B) 1/48
(C) 1/36
(D) 1/24
(E) 1/16
[Reveal] Spoiler: OA

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Last edited by Bunuel on 09 Feb 2013, 02:01, edited 1 time in total.
Edited the question and added the OA.
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Re: A football team has 99 players. Each player has a uniform nu [#permalink]

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08 Feb 2013, 22:00
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No. of ways in which 4 people can leave the field i.e. No. of ways of arranging 4 people = 4! = 24

Out of these 24 ways, there is only one way in which they are in ascending order.

So, probability = $$\frac{1}{24}$$

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Re: A football team has 99 players. Each player has a uniform nu [#permalink]

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09 Feb 2013, 02:05
Rock750 wrote:
A football team has 99 players. Each player has a uniform number from 1 to 99 and no two players share the same number. When football practice ends, all the players run off the field one-by-one in a completely random manner. What is the probability that the first four players off the field will leave in order of increasing uniform numbers (e.g., #2, then #6, then #67, then #72,etc) ?

(A) 1/64
(B) 1/48
(C) 1/36
(D) 1/24
(E) 1/16

Similar question to practice: devil-s-dozen-129312.html#p1063874

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Re: A football team has 99 players. Each player has a uniform nu   [#permalink] 09 Feb 2013, 02:05
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