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6
2006 Combinatorics #6: Product Divisible by 20
2006 Combinatorics #6: Product Divisible by 20
Source:
July 31, 2012
Problem Statement
For how many ordered triplets
(
a
,
b
,
c
)
(a,b,c)
(
a
,
b
,
c
)
of positive integers less than
10
10
10
is the product
a
×
b
×
c
a\times b\times c
a
×
b
×
c
divisible by
20
20
20
?
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