View source for 2016 UNCO Math Contest II Problems/Problem 4

== Problem ==
 Number Sieve
How many positive integers less than 100 are divisible by exactly two of the
numbers 2, 3, 4, 5, 6, 7, 8, 9? For example, 75 is such a number: it is divisible by 3 and by 5, but
is not divisible by any of the others on the list. (If you show the integers you find, then you
may be assigned partial credit if you have accurately found most of them, even if you do not
find all of them.)

== Solution ==

== See also ==
{{UNCO Math Contest box|year=2016|n=II|num-b=3|num-a=5}}

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