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07 Apr 2022, 05:45
Kudos
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D
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:
62% (01:50) correct
38%
(02:15)
wrong
based on 297
sessions
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Not Attempted Yet
The numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 are to be arranged around a circle. What is the probability that the numbers 4,5,6 are together ?
A. 1/9!
B. 1/126
C. 5/126
D. 1/12
E. 2/9
A. 1/9!
B. 1/126
C. 5/126
D. 1/12
E. 2/9
10 Apr 2022, 07:12
Kudos
Bookmarks
Number of elements = 10
Number of arrangements in a circle = (n-1)! = (10-1)! = 9!
Now consider 4,5,6 as one entity -> number of elements = 8 => Number of arrangements = (8-1)! = 7!
Possible arrangements of 4,5,6 = 3!
Probability of 4,5,6 together = 7!*3!/9! = 3*2/9*8 = 1/12 B
Number of arrangements in a circle = (n-1)! = (10-1)! = 9!
Now consider 4,5,6 as one entity -> number of elements = 8 => Number of arrangements = (8-1)! = 7!
Possible arrangements of 4,5,6 = 3!
Probability of 4,5,6 together = 7!*3!/9! = 3*2/9*8 = 1/12 B
