Show that (1^r + 2^r + 3^r + … + n^r)^n ...

Show that `(1^r + 2^r + 3^r + … + n^r)^n` > `n^n` `(n!)^r`, where `r` is any real quantity.

Show that (1^r + 2^r + 3^r + … + n^r)^n > n^n (n!)^r, where r is any r...
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If (n+r)(n+r-1)=110and(n-r)(n-r-1)=20 solve for n and r
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If sum(r=1)^(n)r^(3)((C(n,r))/(C(n,r-1)))=14^(2) then n=
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(ii) (n!)/((n-r)!r!)+(n!)/((n-r+1)!(r-1)!)=((n+1)!)/(r!(n-r+1)!)
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Prove that (n!)/(r!(n-r)!)+(n!)/((r-1)!(n-r+1)!) =((n+1)!)/(r!(n-r+1...
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Given that C(n, r) : C(n,r + 1) = 1 : 2 and C(n,r + 1) : C(n,r + 2) = ...
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मान निकालिए (n!)/(r!(n - r)!), जहाँ n = 5, r = 2
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Prove that : (i) (n!)/(r!)=n(n-1)(n-2)...(r+1) (ii) (n-r+1)*(n!)...
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सिद्ध कीजिए कि (n!)/(r!(n-r)!)+(n!)/((r-1)!(n-r+1)!) =((n+1)!)/(r!...
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