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If 2515 is divided by 13, the reminder is _________ .

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Now, 2515 = (26 – 1)15

= 15C02615 15C12614 + …. + 15C1426 – 15C15

= (15C0261515C12614 + …. + 15C1426 – 13) + 12

Therefore, it is clear that, when we divide 2515 by 13, we get 12 as the remainder.

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