Let f(x) be a polynomial of degree 5 with leading coefficient unity such that f(1)=5, f(2)=4, f(3...

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Let f(x) be a polynomial of degree 5 with leading coefficient unity such that f(1)=5, f(2)=4, f(3)=3, f(4)=2, f(5)=1. Then f(6) is equal to :
(a) 0
(b) 24
(c) 120

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