2008 iTest Problems/Problem 95
Problem
Bored on their trip home, Joshua and Alexis decide to keep a tally of license plates they see in the other lanes: Joshua watches cars going the other way, and Alexis watches cars in the next lane.
After a few minutes, Wendy counts up the tallies and declares, "Joshua has counted 
license plates, and there are 
license plate designs he's seen exactly times, but of Alexis's 
license plates, there's none she's seen exactly 
times. Clearly, is the specialist number."
Michael, suspicious, pulls out the Almanac of American License Plates and notes, "According to confirmed demographic statistics, you'd only expect those numbers to be 
and 
, respectively. But the 
state is weird: Joshua saw exactly of its license plates, which isn't what we'd expect."
Alexis asks, "How many Ohioan license plates did we expect to see?" and reaches for the Almanac to find out, but Michael snatches it away and says, "I'm not telling."
Alexis, disappointed, says, "I suppose that is my best guess," feeling that the answer must be pretty close to .
Wendy smiles. "You can do better than that, actually. Given what Michael said and that we saw Ohioan license plates, we'd actually expect there to have been 
less than ."
Help Alexis. If is in lowest terms, find the product 
.
See Also
| 2008 iTest (Problems) | ||
| Preceded by: Problem 94 |
Followed by: Problem 96 | |
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