December 15, 1958
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| Number 1 - To Know Him, Is To Love Him | The Teddy Bears |
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| Number 2 - Problems | The Everly Brothers |
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| Number 3 - Tom Dooley | The Kingston Trio |
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| Number 4 - One Night | Elvis Presley |
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| Number 5 - Beep Beep | The Playmates |
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| Number 6 - Smoke Gets In Your Eyes | The Platters |
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| Number 7 - Lonesome Town | Ricky Nelson |
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| Number 8 - It's Only Make Believe | Conway Twitty |
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| Number 9 - I Got Stung | Elvis Presley |
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| Number 10 - The Chipmunk Song | The Chipmunks |