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This homework problem has me stumped.
Show that C(n,floor(n/2)) ≥ (2^n)/n
C(n,r) means the number of r-combinations, i.e.,
n!
C(n,r) = --------
r!(n-r)!
It says to use corollary 1 from the book, which is:
n
∑ C(n,k) = 2^n
k=0
Thanks in advance.
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Also, I forgot to say that n is an integer greater than 1.
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