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If two distinct members of the set\{ 2, 4, 12, 14, 21, 28, 98 \} are randomly selected and multiplied, what is the probability that the product is a multiple of 196? Express your answer as a common fraction.

 Sep 11, 2018
 #1
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There's no magic to this.

 

There are  7 pairs that multiply to a multiple of 196.

 

There are 21 unordered pairs that can be made from the set.

 

P[product is a multiple of 196]=7/21 = 1/3

 Sep 11, 2018

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