Questions asked by Ultrilliam
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Can you marry the Queen of England without being a Christian?

If #sigma = int_0^1 (e^x)/(1+x) dx#, show that # int_0^1 (xe^x)/(1+x) dx = e  1  sigma# Hint: the cutest solution is often overlooked.
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Show that?
#(P(N', n))/(P(N,n)) ~~ ((N')/N)^n#
#(N', N, n) in ZZ^+#
#(N', N )">>" n#
#P(x,y) = (x!)/((xy)!)#
Stirling Approx allowed