Multiple Choice Question: Five men and three women are arranged randomly in a row. What is the probability that there are not two women standing together anywhere in the row?

Five men and three women are arranged randomly in a row. What is the probability that there are not two women standing together anywhere in the row?

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Orphaned Multiple Choice Questions (MCQ) due to changes of exam system.

Three marksmen simultaneously shoot and hit a rapidly spinning spherical target.
There are five harmonic means between 4/3 and 4/11. What is the fourth term?
Find $\displaystyle \sum_{n = 1}^4 (2k + 1)$.
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If the population of a city increases by 10% each year, during which year will the population doubled?
A farmer has 2400 ft of fencing and wants to fence off a rectangular field that borders a straight river.
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Twice the larger of two numbers is three more than five times the smaller, and the sum of four times the larger and three times the smaller is 71. What is the smaller number?
Given $f(x) = (x - 4)(x + 3) + 4$. When $f(x)$ is divided by $(x - k)$, the remainder is k, find the value of k.

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