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29 Aug 2017, 10:46
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
64% (02:07) correct
36%
(01:53)
wrong
based on 292
sessions
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Not Attempted Yet
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
(A) 15
(B) 20
(C) 36
(D) 64
(E) 90
29 Aug 2017, 11:25
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pierredmq
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29 Aug 2017, 11:07
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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)
(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)
