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Updated on: 18 Apr 2016, 12:28
Originally posted by MartyTargetTestPrep on 17 Apr 2016, 20:25.
Last edited by MartyTargetTestPrep on 18 Apr 2016, 12:28, edited 1 time in total.
Last edited by MartyTargetTestPrep on 18 Apr 2016, 12:28, edited 1 time in total.
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
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Question Stats:
67% (02:12) correct
33%
(02:00)
wrong
based on 136
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At a circular table for eight will sit six adults and two small children. The two children will sit next to each other, and the two parents of the children will sit next to the children so that there is one parent on each side of the two children. If rotating their positions around the table is not considered changing the arrangement, in how many different ways can the eight people be arranged around the table.
(A) 24
(B) 96
(C) 1440
(D) 5040
(E) 40320
Source: Marty Murray
(A) 24
(B) 96
(C) 1440
(D) 5040
(E) 40320
Source: Marty Murray
17 Apr 2016, 20:39
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Lets consider P|C|C|P as one unit.
Number of people sitting in the circular table = 4 + 1unit = 5
Number of ways of arranging the above 5 units seated in the circular table = (5 - 1)! = 4! = 24
But children can interchange the positions between them in 2 ways and the parents can interchange their positions in 2 ways.
Total number of ways = 24 * 2 * 2 = 96
Answer: B
Number of people sitting in the circular table = 4 + 1unit = 5
Number of ways of arranging the above 5 units seated in the circular table = (5 - 1)! = 4! = 24
But children can interchange the positions between them in 2 ways and the parents can interchange their positions in 2 ways.
Total number of ways = 24 * 2 * 2 = 96
Answer: B
17 Apr 2016, 21:41
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MartyMurray
No of ways 4 adults can be arranged = 4! =24
No of ways mother and father can be arranged by exchanging positions around children = 2
No of ways children can be arranged by exchanging positions = 2
Total ways of arrangement = 24 * 2 * 2 = 96
Attachment:
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