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In a shooting match, 8 clay targets are arranged in two hanging columns of three each and one column of two. A marksman must break the targets in the following ...

Let \(A\), \(B\), and \(C \) be positive integers such that \(A<B<C\) and \(A+\dfrac{A}{B} +\dfrac{B}{C}=9\). How many triples \((A,B,C)\) satisfy the problem?

What is the smallest positive integer which is a multiple of 3 and the product of all of whose digits is 2016?

There are three peoples , Albert, Brad and Ken, one of whom is a knight, one a knave, and one a spy.

Ralph Malph flips a fair coin until he has flipped heads at least once and tails at least twice.

What is the expected number of times he will need to ...

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