Question

If
Ω=ΣΣΣ(mn)/(m+n+p)!=5e/24

For the first summation
M=1 to +∞
Second summation
N=1 to +∞
Third summation
p=1 to +∞

I was giving a hint but still
ΣΣΣ(mn)/(m+n+p)!x^(m+n+p)=f(x)

Where f(0)=0
How can I show that
Ω=ΣΣΣ(mn)/(m+n+p)!=5e/24

Give the aformentioned hint

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