Question: Let a, b, c be three positive integers. Show that abc(a - b)(b ? c)(c ? a) is divisible by 6. (Hint: Use the pigeonhole

Let a, b, c be three positive integers. Show that abc(a

- b)(b ? c)(c ? a) is divisible by 6. (Hint: Use

Let a, b, c be three positive integers. Show that abc(a - b)(b ? c)(c ? a) is divisible by 6. (Hint: Use the pigeonhole principle)

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