The principles/theories of permutation and combination in mathematics are stated: These principles/theories are applied in the allocation of telephone numbers from country code to actual telephone/fax numbers for home or businesses. The results obtained are compared to the present world population. How this result could improve the present world telecommunications system is demonstrated. This article was written based on the results of a study evaluating students' errors in problem solving of permutation and combination in terms of problem solving steps according to Polya. Twenty-five students were asked to do four problems related to permutation and combination. The research results showed that the students still did a mistake in understanding the problems related to permutation and combination, the students still made a mistake in planning problem solving related to permutation and combination, and the students still had a mistake in rechecking the problems given. Besides, there were some students who did the combination problem by using the permutation problem.
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