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the coefficient of x^3 in (1+5x)^(1/2) i...

the coefficient of `x^3` in `(1+5x)^(1/2)` is:

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Statement-1 Coefficient of x^49 in (1+ x)(3 +x)(5 +x)......... (99+x) is 2500 and Statement. 2 The coefficient of x^k in (1 +x)l (2 +x)m (3 +x)n where l +m +n -k= 1 is (l+ 2m +3n).