1.The coefficient of x101x^{101}x101 in the expression (5+x)500+x(5+x)499+x2(5+x)498+⋯+x500(5+x)^{500} + x(5+x)^{499} + x^2(5+x)^{498} + \cdots + x^{500}(5+x)500+x(5+x)499+x2(5+x)498+⋯+x500, x>0x > 0x>0, isa.(501101)⋅5399\binom{501}{101} \cdot 5^{399}(101501)⋅5399b.(501101)⋅5400\binom{501}{101} \cdot 5^{400}(101501)⋅5400c.(501100)⋅5400\binom{501}{100} \cdot 5^{400}(100501)⋅5400d.(500101)⋅5399\binom{500}{101} \cdot 5^{399}(101500)⋅5399Login to continueOnly logged in users canattempt or see the solution.
