Two distinct numbers are selected simultaneously and at random from the set (1, 2, 3, 4, 5, 6, 7). What is the probability that the smaller one divides the larger one? Express your answer as a common fraction.
1 2 3 4 5 6 7
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2 2 3
3 2
4
5
6
7
We have C(7,2) = 21 possibiities
Only 9 meet the criteria
So
9 / 21 = 3 / 7