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Exercise p9037 892 4. 1. From the integers 1, 2,o, 2n, we choose n+l intergers. Show that among the integers chosen there are two which are relatively prime. 4 2.A computer network consists of six computers. Each computer is directly connected to at least one of the other computers Show that there are at least two computers in the network that are directly connected to the same number of other computers 83.Show that for any given n+2 integers there exist two of them whose sum, or else whose difiference is divisible by 2n. .&o Nexta .8 Permutations of sets p79-81.3.1 ☆ circular permutation .o Combinations of sets.3.2 P83-84❖ Exercise P90 3,7, 8,9 ❖ 1.From the integers 1,2,…,2n, we choose n+1 intergers. Show that among the integers chosen there are two which are relatively prime. ❖ 2.A computer network consists of six computers. Each computer is directly connected to at least one of the other computers. Show that there are at least two computers in the network that are directly connected to the same number of other computers. ❖ 3.Show that for any given n+2 integers there exist two of them whose sum, or else whose difference is divisible by 2n. ❖ Next: ❖ Permutations of sets P79-81, 3.1 ❖ circular permutation ❖ Combinations of sets,3.2 P83-84
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