Found this question in one of the Veritas Prep blog posts...
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Quote:
Six friends live in the city of Monrovia. There are four natural attractions around Monrovia – a waterfall, a
safari, a lake and some caves. The friends decide to take a vacation together at one of these attractions. To select the
attraction, each one of them votes for one of the attractions. What is the probability that each attraction gets at least one
vote?
safari, a lake and some caves. The friends decide to take a vacation together at one of these attractions. To select the
attraction, each one of them votes for one of the attractions. What is the probability that each attraction gets at least one
vote?
[Reveal] Spoiler: OE
The answer is 1560/(4^6). I was wondering if we can get to this answer by removing the cases where [an "attraction" gets zero votes] can be subtracted from the [total number of cases].