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Unformatted text preview: c, a + b + c is divisible by 3. In other words, there must be a string of consecutive num-bers whose sum is divisible by 3. (iii) If a , b , c , d , e , f , g are any seven natural numbers, prove that there must be a string of consecutive numbers in the list whose sum is divisible by 7. 3. (i) The 8 leaders of the G8 countries are standing in a row to have their picture taken. In how many ways can they do this? (ii) In how many ways can they do this if Angela Merkel doesnt want to stand next to Silvio Berlusconi? 1...
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- Spring '08