Last visit was: 21 Apr 2026, 19:15 It is currently 21 Apr 2026, 19:15
Home
Messages
Tests
Schools
Events
Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
User avatar
LMP
User avatar
Joined: 29 Jun 2018
Last visit: 15 Mar 2022
Posts: 49
Own Kudos:
235
 [3]
Given Kudos: 62
Location: India
Schools: Johnson '20 HEC Montreal '21
GPA: 4
Schools: Johnson '20 HEC Montreal '21
Posts: 49
Kudos: 235
 [3]
A school period is a block of time allocated for lessons Updated on: 08 Aug 2018, 07:49
Originally posted by LMP on 08 Aug 2018, 07:08.
Last edited by generis on 08 Aug 2018, 07:49, edited 1 time in total.
Edited the question, renamed topic
Kudos
Add Kudos
3
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

65% (hard)

Question Stats:

47% (01:48) correct 53% (02:10) wrong based on 17 sessions

History

Date
Time
Result
Not Attempted Yet
A school period is a block of time allocated for lessons, classes in schools. There are 6 periods in each working day of school. In how many ways can one organize 5 subjects such that each subject is allowed at least one period ?

A) 3600
B) 1800
C) 1400
D) 4000
E) 2000

Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
ShowHide Answer
Official Answer
B
User avatar
sudarshan22
User avatar
Retired Moderator
Joined: 30 Jan 2015
Last visit: 10 Nov 2019
Posts: 628
Own Kudos:
2,476
 [3]
Given Kudos: 1,131
Location: India
Concentration: Operations, Marketing
GPA: 3.5
Posts: 628
Kudos: 2,476
 [3]
A school period is a block of time allocated for lessons 08 Aug 2018, 07:32
1
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
Bulusuchaitanya
A school period is a block of time allocated for lessons, classes in schools. There are 6 periods in each working day of School . In how many ways can one organize 5 subjects such that each subject is allowed at least one period ?
Show more
+1 for B.

5 subjects in 6 periods = 6P5
Remaining 1 period = 5P1

Since one subject is repeated twice, we need to divide the final arrangement by 2!

Total number of arrangement = ( 6P5 * 5P1 ) / 2! = 1800

Hence, B.
User avatar
Bismarck
User avatar
Joined: 18 Jun 2018
Last visit: 15 Mar 2023
Posts: 217
Own Kudos:
481
Given Kudos: 35
Posts: 217
Kudos: 481
A school period is a block of time allocated for lessons 08 Aug 2018, 09:07
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bulusuchaitanya
A school period is a block of time allocated for lessons, classes in schools. There are 6 periods in each working day of school. In how many ways can one organize 5 subjects such that each subject is allowed at least one period ?

A) 3600
B) 1800
C) 1400
D) 4000
E) 2000
Show more

OA:B

Time slot................X X X X X X
Subject choice.........5 4 3 2 1 -

Empty slot can be arranged in 6 position :X X X X X X;X X X X X X;X X X X X X;X X X X X X;X X X X X X; X X X X X X
Empty Slot can be filled any of 5 subject,this will lead to 2 slots having same subjects

Total number of schedule of subject possible: \(\frac{5*4*3*2*1*(6*5)}{2!}=\frac{3600}{2}=1800\)
avatar
gautam1129
avatar
Joined: 01 Jul 2018
Last visit: 11 May 2020
Posts: 1
Own Kudos:
1
 [1]
Given Kudos: 148
Posts: 1
Kudos: 1
 [1]
A school period is a block of time allocated for lessons 09 Aug 2018, 04:12
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I have different way to solve the problem:
Number of period = 6
Number of subject = 5
So let's say 5 subject are A,B,C,D,E. We know atleast 1 subject has to be repeated.
If subject A is repeated. The AABCDE. by anagraming 6!÷2!.
No. Of ways = same can be true for all 5 subjects.
5×6!÷2!= 1800

Posted from my mobile device
User avatar
GyMrAT
User avatar
Joined: 14 Dec 2017
Last visit: 03 Nov 2020
Posts: 412
Own Kudos:
524
Given Kudos: 173
Location: India
Posts: 412
Kudos: 524
A school period is a block of time allocated for lessons 09 Aug 2018, 05:31
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bulusuchaitanya
A school period is a block of time allocated for lessons, classes in schools. There are 6 periods in each working day of school. In how many ways can one organize 5 subjects such that each subject is allowed at least one period ?

A) 3600
B) 1800
C) 1400
D) 4000
E) 2000
Show more


Let the subjects be A, B, C, D, E & we have 6 periods to fill in. Hence one empty slot of period that can be filled by each of the 5 different periods.

Hence the arrangements will be of the form A B C D E _ , the empty slot "_", to be filled in by each subject as ( A B C D E A, A B C D E B, etc.)

Each of the arrangement can be re arranged within itself in 6!/2! ways

We get # of ways of organizing the periods as = (6!/2!) * 5 = 1800


Thanks,
GyM

Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
Moderator:
Bunuel
Math Expert
109728 posts