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Erdős problem 849

Is it true that, for every integer t1t\geq1, there is some integer aa such that (nk)=a{n \choose k} = a with 1kn21\leq k \le \frac{n}{2} has exactly tt solutions?

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Problem row
sha256:115873f1392796944cef8fe57104c910a59884b6e85fe6a1ed908480ee43babc
Metadata
sha256:0e36ca986d646e343505596da84cf416dd4096473414cbba6ffc48024334faf9
Observation
sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content
sha256:79a3da13b44e0df251be88c84eb002d28e4c25bf258daca50d5defda8bfa54b5
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
Source commit
2415f78e850aeee50afdca525c6f2e0ea606f207

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