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A tutor is scheduling his appointments for the day and has 5 students

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Bunuel
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A tutor is scheduling his appointments for the day and has 5 students [#permalink] New post   02 Dec 2016, 06:47
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A tutor is scheduling his appointments for the day and has 5 students to see: Liz, Jake, Sarah, Ramsey, and Cody. If the tutor sees all his students that day how many different schedules of students are possible?

A. 3125
B. 1554
C. 120
D. 60
E. 15
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C
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Re: A tutor is scheduling his appointments for the day and has 5 students [#permalink] New post   22 May 2017, 18:50
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Bunuel wrote:
A tutor is scheduling his appointments for the day and has 5 students to see: Liz, Jake, Sarah, Ramsey, and Cody. If the tutor sees all his students that day how many different schedules of students are possible?

A. 3125
B. 1554
C. 120
D. 60
E. 15


Since the tutor is planning a schedule of appointments, the order in which the students are seen matters, and thus we have a permutation.

Thus, the number of ways to schedule 5 students is 5P5 = 5!/(5-5)! = 5!/0! = 5! = 120. (Recall that 0! = 1.)

Answer: C
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Re: A tutor is scheduling his appointments for the day and has 5 students [#permalink] New post   03 Dec 2016, 10:58
Is this a permutation problem?
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I got 120, my reasoning: There are 5 students to choose from for the first appointment, then 4 students to choose from for the second appointment, etc.
5*4*3*2*1 = 120 different ways to schedule appointments.


Its unclear to me if this is the correct line or reasoning or if I'm double counting any of the appointments.
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Re: A tutor is scheduling his appointments for the day and has 5 students [#permalink] New post   19 May 2017, 01:48
blitheclyde wrote:
Is this a permutation problem?
Show Spoiler
I got 120, my reasoning: There are 5 students to choose from for the first appointment, then 4 students to choose from for the second appointment, etc.
5*4*3*2*1 = 120 different ways to schedule appointments.


Its unclear to me if this is the correct line or reasoning or if I'm double counting any of the appointments.


your understanding is correct and also it just A simple counting method in this we need to arrange all such students so that order does matter here and answer will be 5!

hope its clear
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Re: A tutor is scheduling his appointments for the day and has 5 students [#permalink] New post   24 Oct 2020, 05:08
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