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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
Six students are equally divided into 3 groups, then, the three groups
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11 Apr 2022, 03:32
11 Apr 2022, 03:32
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Question Stats:
31% (01:26) correct
68% (01:18) wrong based on 16 sessions
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Six students are equally divided into 3 groups, then, the three groups were assigned to three different topics. How many different arrangements are possible?
(A) 30
(B) 60
(C) 90
(D) 180
(E) 540
(A) 30
(B) 60
(C) 90
(D) 180
(E) 540
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
Re: Six students are equally divided into 3 groups, then, the three groups
[#permalink]
14 Apr 2022, 02:16
14 Apr 2022, 02:16
1
Expert Reply
Rephrase the question:
How many 2 person arrangements can you make out of 6 people = 6C2= 15. Then how many ways can you assign the 2 person teams to 3 assignments= 3!
Answer: 6C2 * 3! = 90
How many 2 person arrangements can you make out of 6 people = 6C2= 15. Then how many ways can you assign the 2 person teams to 3 assignments= 3!
Answer: 6C2 * 3! = 90
Re: Six students are equally divided into 3 groups, then, the three groups
[#permalink]
02 Oct 2022, 19:39
02 Oct 2022, 19:39
The official answer to this question is wrong.
NO of ways to divide 6 students in 3 pairs is 6C2 x 4C2 x 2C2 = 6C2 X 4C2 X 1 = 90
No of ways to assign the teams 3 assignments = 3!
Ans (E) 540
verified on google.
NO of ways to divide 6 students in 3 pairs is 6C2 x 4C2 x 2C2 = 6C2 X 4C2 X 1 = 90
No of ways to assign the teams 3 assignments = 3!
Ans (E) 540
verified on google.
