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Choose the correct option.
Five numbers x₁, x₂, x₃, x₄, x₅ are randomly selected from the numbers 1, 2, 3, …, 18 and are…
Five numbers $x_1, x_2, x_3, x_4, x_5$ are randomly selected from the numbers $1, 2, 3, \dots, 18$ and are arranged in the increasing order such that $x_1 < x_2 < x_3 < x_4 < x_5$. What is the probability that $x_2 = 7$ and $x_4 = 11$?
- (a)$\frac{26}{51}$
- (b)$\frac{3}{104}$
- (c)$\frac{1}{68}$
- (d)$\frac{1}{34}$
Answer
Answer
Official answer keyCorrect option: (c)
(c) $\frac{1}{68}$