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11 Apr 2022, 06:15
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
74% (01:01) correct
26%
(01:23)
wrong
based on 158
sessions
History
Date
Time
Result
Not Attempted Yet
A group of seven students is to be seated in a row of seven desks. In how many different ways can the group be seated if two of the preselected students must sit in an end seat (i.e., two students have been preselected to sit in either the first or the seventh seat)?
(A) 49
(B) 100
(C) 120
(D) 240
(E) 720
(A) 49
(B) 100
(C) 120
(D) 240
(E) 720
ColumbiaBaby
GMAT 1: 740 Q49 V42
Posts: 26
11 Apr 2022, 22:58
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No. of ways 2 preselected students can be seated at the extremes : 2
No. of ways remaining students can be seated: 5! = 120 (Permutation because order matters)
Total no. of ways all students can be seated: 2 x 120 = 240
No. of ways remaining students can be seated: 5! = 120 (Permutation because order matters)
Total no. of ways all students can be seated: 2 x 120 = 240
27 Jun 2024, 23:08
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Hello!
Could somebody please explain to me why we multiply 120 x 2? I chose C.
Thank you in advance.
Could somebody please explain to me why we multiply 120 x 2? I chose C.
Thank you in advance.
