View source for 2006 UNCO Math Contest II Problems/Problem 2

== Problem ==

If <math>a,b</math> and <math>c</math> are positive integers, how many integers are strictly between the product <math>abc</math>
and <math>(a+1)(b+1)(c+1)</math> ? For example, there are 35 integers strictly between <math>24=2*3*4</math> and <math>60=3*4*5.</math>

==Solution==
{{solution}}

==See Also==
{{UNCO Math Contest box|n=II|year=2006|num-b=1|num-a=3}}

[[Category:Introductory Algebra Problems]]