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A Maths Puzzle: Balls

Thanks to arthritismutilans http://www.youtube.com/user/arthritismutilans and DeeDoubleYou81 http://www.youtube.com/user/DeeDoubleYou81 for the puzzle. If I put my juggling collection into piles of 2 I have one juggling ball left over. If I put my collection into piles of 3 I have 2 left over. If I put my collection into piles of 5 I have 4 left over. If I put my collection into piles of 7 I have 6 left over. If I put my collection into piles of 11 I have 10 left over. Have many juggling balls do I own? Is there only one solution? Solution video here http://www.youtube.com/watch?v=zB2nbCCeSRI
Length: 01:21

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