M7MBA wrote:In how many ways can N students be seated in a row with N seats?
(1) |N − 6| = 3
(2) N^2 = 7N + 18
The number of ways to arrange N students = N!.
Thus, to answer the question stem, we need to know the value of N.
Question stem, rephrased:
What is the value of N?
Statement 1:
If N-6 = 3, then N=9.
If N-6 = -3, then N=3.
Since N can be different values, INSUFFICIENT.
Statement 2:
N² - 7N - 18 = 0
(N-9)(N+2) = 0
N=9 or N=-2.
Since the number of students must be POSITIVE, only N=9 is viable.
SUFFICIENT.
The correct answer is
B.
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