The rare dimes in question are the 1894-S Barber Dime and the 1792 Birch Dime, while the bicentennial quarter is the 1976 No S Bicentennial Quarter.
The 1894-S Barber Dime is a numismatic marvel with only 24 known specimens in existence.
The 1894-S Barber Dime has fetched astronomical prices at auctions, with one example selling for $1.32 million in 2016.
Even more elusive is the 1792 Birch Dime, a coin shrouded in mystery and controversy.
Its rarity and historical significance make it a coveted prize for collectors, with one example selling for $1.84 million in 2015.
Turning to the bicentennial quarter, the 1976 No S Bicentennial Quarter holds a unique place in numismatic lore.
During the bicentennial celebrations of American independence, the U.S. Mint issued special quarters commemorating the event.