Last visit was: 22 Apr 2026, 16:32 It is currently 22 Apr 2026, 16:32
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
Back to Forum
Create Topic
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 22 Apr 2026
Posts: 109,754
Own Kudos:
810,668
 [4]
Given Kudos: 105,823
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,754
Kudos: 810,668
 [4]
There are 6 tasks and 6 persons. Task 1 cannot be assigned either to 12 Mar 2021, 03:16
1
Kudos
Add Kudos
3
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

75% (hard)

Question Stats:

47% (02:12) correct 53% (01:57) wrong based on 116 sessions

History

Date
Time
Result
Not Attempted Yet
There are 6 tasks and 6 persons. Task 1 cannot be assigned either to person 1 or to person 2; task 2must be assigned to either person 3 or person 4. Every person is to be assigned one task. In how many ways can the assignment be done?

(A) 144
(B) 189
(C) 192
(D) 368
(E) 378
ShowHide Answer
Official Answer
A
User avatar
JohnGalt1
User avatar
Joined: 10 Feb 2021
Last visit: 13 Apr 2022
Posts: 40
Own Kudos:
78
 [1]
Given Kudos: 109
Location: Fiji
Schools: BU Stern '24 Kellogg '24 Wharton '24
GMAT 1: 580 Q44 V26
GMAT 2: 700 Q47 V40
GPA: 3.44
WE:Account Management (Consulting)
Schools: BU Stern '24 Kellogg '24 Wharton '24
GMAT 2: 700 Q47 V40
Posts: 40
Kudos: 78
 [1]
There are 6 tasks and 6 persons. Task 1 cannot be assigned either to 12 Mar 2021, 03:39
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Pretty Sure its wrong but, lets give a try

_ _ _ _ _ _ => 192 => Thus, C.
4 2 4 3 2 1
avatar
DhawajPunamia
avatar
Joined: 11 Feb 2021
Last visit: 25 Aug 2021
Posts: 1
Own Kudos:
1
 [1]
Given Kudos: 23
Posts: 1
Kudos: 1
 [1]
There are 6 tasks and 6 persons. Task 1 cannot be assigned either to 12 Mar 2021, 04:18
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
JohnGalt1
Pretty Sure its wrong but, lets give a try

_ _ _ _ _ _ => 192 => Thus, C.
4 2 4 3 2 1
Show more

I guess for this question you need to split the sum into cases. The first task and second task can have conflicting numbers.
avatar
mukherjeeabhish
avatar
Joined: 26 Mar 2019
Last visit: 24 Mar 2022
Posts: 32
Own Kudos:
17
 [4]
Given Kudos: 248
Location: India
Posts: 32
Kudos: 17
 [4]
There are 6 tasks and 6 persons. Task 1 cannot be assigned either to 12 Mar 2021, 09:57
3
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
There are 6 tasks and 6 persons. Task 1 cannot be assigned either to person 1 or to person 2; task 2must be assigned to either person 3 or person 4. Every person is to be assigned one task. In how many ways can the assignment be done?

(A) 144
(B) 189
(C) 192
(D) 368
(E) 378

As TASK 2 can be assigned to either person 3 or 4 ,let's start with it.

Let task 2 goes to person 3 .

Then choices left for task 1 are Person 4,5,6 = 3

Rest of the tasks can be assigned in a non-restrictive way (4 task remaining and 4 person= 4! or 4 *3*2).

so total for this case = 3 * 4*3*2 = 72

Similarly 72 when task 2 goes to person 4 .

So total = 144 .Option A
User avatar
ramlala
User avatar
Joined: 22 Aug 2020
Last visit: 13 Dec 2022
Posts: 468
Own Kudos:
384
 [1]
Given Kudos: 30
Location: India
Concentration: International Business, Finance
Schools: IIMA PGPX'23 INSEAD Jan'23 intake Sloan (MIT) ISB HEC Said
GPA: 4
WE:Project Management (Energy)
Schools: IIMA PGPX'23 INSEAD Jan'23 intake Sloan (MIT) ISB HEC Said
Posts: 468
Kudos: 384
 [1]
There are 6 tasks and 6 persons. Task 1 cannot be assigned either to Updated on: 13 Mar 2021, 23:00
Originally posted by ramlala on 13 Mar 2021, 22:39.
Last edited by ramlala on 13 Mar 2021, 23:00, edited 1 time in total.
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
DhawajPunamia
JohnGalt1
Pretty Sure its wrong but, lets give a try

_ _ _ _ _ _ => 192 => Thus, C.
4 2 4 3 2 1

I guess for this question you need to split the sum into cases. The first task and second task can have conflicting numbers.
Show more

JohnGalt1 Please have a look.
Task 1: has 3 possibilities because Task 1 cannot be assigned either to person 1 or to person 2 and at the same time task 2 is assigned to either person 3 or person 4.
Task 2: has 2 possibilities because task 2 must be assigned to either person 3 or person 4
Task 3: has 4 possibilities because remaining person are 4
Task 4: has 3 possibilities because remaining person are 3
Task 5: has 2 possibilities because remaining person are 2
Task 6: has 1 possibilities because remaining person are 1
User avatar
Gautamkgoyal
User avatar
Joined: 07 Feb 2021
Last visit: 05 Jan 2022
Posts: 10
Own Kudos:
3
Given Kudos: 58
Location: India
Schools: ISB '23 (S)
GMAT 1: 710 Q50 V39
Schools: ISB '23 (S)
GMAT 1: 710 Q50 V39
Posts: 10
Kudos: 3
There are 6 tasks and 6 persons. Task 1 cannot be assigned either to 13 Mar 2021, 22:45
Kudos
Add Kudos
Bookmarks
Bookmark this Post
JohnGalt1
Pretty Sure its wrong but, lets give a try

_ _ _ _ _ _ => 192 => Thus, C.
4 2 4 3 2 1
Show more


Think this is wrong because Task 1 and task 2 have related people so you cannot multiply like that

Suppose for the first task we choose Number 3 person then would we have 2 options for the second task? No.

Answer is 144.
User avatar
Nik11
User avatar
Joined: 17 Jan 2021
Last visit: 21 Nov 2021
Posts: 99
Own Kudos:
45
Given Kudos: 236
Schools: HEC MFin "23 (S)
GMAT 1: 710 Q49 V39
Products:
My Reviews
Schools: HEC MFin "23 (S)
GMAT 1: 710 Q49 V39
Posts: 99
Kudos: 45
There are 6 tasks and 6 persons. Task 1 cannot be assigned either to 14 Mar 2021, 22:23
Kudos
Add Kudos
Bookmarks
Bookmark this Post
mukherjeeabhish
There are 6 tasks and 6 persons. Task 1 cannot be assigned either to person 1 or to person 2; task 2must be assigned to either person 3 or person 4. Every person is to be assigned one task. In how many ways can the assignment be done?

(A) 144
(B) 189
(C) 192
(D) 368
(E) 378

As TASK 2 can be assigned to either person 3 or 4 ,let's start with it.

Let task 2 goes to person 3 .

Then choices left for task 1 are Person 4,5,6 = 3

Rest of the tasks can be assigned in a non-restrictive way (4 task remaining and 4 person= 4! or 4 *3*2).

so total for this case = 3 * 4*3*2 = 72

Similarly 72 when task 2 goes to person 4 .

So total = 144 .Option A
Show more

I agree with your approach

Task 2 can be assigned in 2 ways

The previous assignment restricts the possibilities for task 1 to 3

Finally, there are 4 people that can be assigned to 4 tasks, thus ----> 2 * 3 * 4! = 6 * 4 * 3 * 2 = 144 -----> A
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,966
Own Kudos:
1,117
Posts: 38,966
Kudos: 1,117
There are 6 tasks and 6 persons. Task 1 cannot be assigned either to 08 Jan 2023, 10:27
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Bunuel
Math Expert
109754 posts
Krunaal
Tuck School Moderator
853 posts