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

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Intern
Joined: 20 Jun 2017
Posts: 2
Six students in a social studies class will be divided into 3 pairs to [#permalink]

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29 Aug 2017, 10:46
1
00:00

Difficulty:

35% (medium)

Question Stats:

61% (01:33) correct 39% (01:02) wrong based on 41 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
BSchool Forum Moderator
Joined: 26 Feb 2016
Posts: 2834
Location: India
GPA: 3.12
Re: Six students in a social studies class will be divided into 3 pairs to [#permalink]

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29 Aug 2017, 11:07
1
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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29 Aug 2017, 11:25
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] 29 Aug 2017, 11:25
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