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11 January, 09:41

How many distinct positive integers can be represented as the difference of two numbers in the set $/{1, 3, 5, 7, 9, 11, 13/}$?

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  1. 11 January, 09:57
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    The set given is {1, 3, 5, 7, 9, 11, 13} and is asked in the problem to determine the number of integers that are defined as the difference of the two numbers.

    differences:

    2, 4, 6, 8, 10, 12

    2, 4, 5, 8, 10

    2, 4, 6, 8

    2, 4. 6

    2, 4

    2

    Hence the solution set is { 2, 4, 6, 8, 10, 12}. The answer is 6 integers.
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