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7
2015-2016 Spring OMO #7
2015-2016 Spring OMO #7
Source:
March 29, 2016
Online Math Open
Problem Statement
Compute the number of ordered quadruples of positive integers
(
a
,
b
,
c
,
d
)
(a,b,c,d)
(
a
,
b
,
c
,
d
)
such that
a
!
⋅
b
!
⋅
c
!
⋅
d
!
=
24
!
.
a!\cdot b!\cdot c!\cdot d!=24!.
a
!
⋅
b
!
⋅
c
!
⋅
d
!
=
24
!
.
Proposed by Michael Kural
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