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Six students in a social studies class will be divided into 3 pairs to

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Six students in a social studies class will be divided into 3 pairs to  [#permalink]

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New post 29 Aug 2017, 09:46
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Question Stats:

61% (01:29) correct 39% (01:10) wrong based on 66 sessions

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Six students in a social studies class will be divided into 3 pairs to give presentations about the continents Africa, Asia and South America. Each pair will be assigned a different continent. How many complete assignments of the 6 students to the 3 continents are possible ?

(A) 15

(B) 20

(C) 36

(D) 64

(E) 90
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Re: Six students in a social studies class will be divided into 3 pairs to  [#permalink]

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New post 29 Aug 2017, 10:25
pierredmq wrote:
Six students in a social studies class will be divided into 3 pairs to give presentations about the continents Africa, Asia and South America. Each pair will be assigned a different continent. How many complete assignments of the 6 students to the 3 continents are possible ?

(A) 15

(B) 20

(C) 36

(D) 64

(E) 90



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Re: Six students in a social studies class will be divided into 3 pairs to  [#permalink]

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New post 29 Aug 2017, 10:07
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Since there are 6 students, and we need presentations about 3 continents
(Asia, Africa and South America) and a pair of students each to give these presentations.

For Asia, there would be \(6c2(15)\) ways of choosing the students
For Africa, there would be \(4c2(6)\) ways of choosing the students
For South America, there would be \(2c2(1)\) way of choosing the students

Total ways possible of choosing the students is 15*6*1 = 90 ways(Option E)
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Re: Six students in a social studies class will be divided into 3 pairs to  [#permalink]

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