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In a certain summer school program, there are five periods in the day. Each student takes English, Math, History, Scienc

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In a certain summer school program, there are five periods in the day. Each student takes English, Math, History, Scienc

by BTGModeratorVI » Thu Dec 03, 2020 2:42 pm

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In a certain summer school program, there are five periods in the day. Each student takes English, Math, History, Science, and Science Lab. In how many orders can a student schedule be arranged given that Science lab must immediately follow the Science class?

A. 20
B. 24
C. 100
D. 120
E. 135

Answer: B
Source: Magoosh
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Re: In a certain summer school program, there are five periods in the day. Each student takes English, Math, History, Sc

by Scott@TargetTestPrep » Tue Dec 08, 2020 12:56 pm
BTGModeratorVI wrote: ↑
Thu Dec 03, 2020 2:42 pm
 In a certain summer school program, there are five periods in the day. Each student takes English, Math, History, Science, and Science Lab. In how many orders can a student schedule be arranged given that Science lab must immediately follow the Science class?

A. 20
B. 24
C. 100
D. 120
E. 135

Answer: B
Solution:

We can group Science and Science Lab together as one class, so there are actually 4 classes to be arranged; the number of ways to arrange them is 4! = 24.

Answer: B

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Re: In a certain summer school program, there are five periods in the day. Each student takes English, Math, History, Sc

by Brent@GMATPrepNow » Wed Dec 09, 2020 7:13 am
BTGModeratorVI wrote: ↑
Thu Dec 03, 2020 2:42 pm
 In a certain summer school program, there are five periods in the day. Each student takes English, Math, History, Science, and Science Lab. In how many orders can a student schedule be arranged given that Science lab must immediately follow the Science class?

A. 20
B. 24
C. 100
D. 120
E. 135

Answer: B
Source: Magoosh
Take the Science, and Science Lab classes and "glue" them together to get the super class "Science-Science-Lab"
This ensures that Science Lab immediately follows the Science class

So, we now have only 4 classes: English, Math, History and Science-Science-Lab
We can arrange n objects in n! ways.
So, we can arrange these 4 classes in 4! ways (i.e. 24 ways)

Answer: B

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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Re: In a certain summer school program, there are five periods in the day. Each student takes English, Math, History, Sc

by nickbor34 » Thu Mar 11, 2021 3:03 am
This is a good starting test. 4! = 1 * 2 * 3 * 4 = 24 It seems to me that option B is the correct answer.
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Re: In a certain summer school program, there are five periods in the day. Each student takes English, Math, History, Sc

by amandaturciya » Tue Nov 09, 2021 10:12 am
Great! Thank you for this solution, guys!
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