jee-main 2012 Q66

jee-main · India · 07may Binomial Theorem (positive integer n) Find a Specific Coefficient in a Product of Binomial/Polynomial Expressions

If $f ( y ) = 1 - ( y - 1 ) + ( y - 1 ) ^ { 2 } - ( y - 1 ) ^ { 3 } + \ldots - ( y - 1 ) ^ { 17 }$ then the coefficient of $y ^ { 2 }$ in it is
(1) ${ } ^ { 17 } \mathrm { C } _ { 2 }$
(2) ${ } ^ { 17 } \mathrm { C } _ { 3 }$
(3) ${ } ^ { 18 } \mathrm { C } _ { 2 }$
(4) ${ } ^ { 18 } \mathrm { C } _ { 3 }$

If $f ( y ) = 1 - ( y - 1 ) + ( y - 1 ) ^ { 2 } - ( y - 1 ) ^ { 3 } + \ldots - ( y - 1 ) ^ { 17 }$ then the coefficient of $y ^ { 2 }$ in it is\\
(1) ${ } ^ { 17 } \mathrm { C } _ { 2 }$\\
(2) ${ } ^ { 17 } \mathrm { C } _ { 3 }$\\
(3) ${ } ^ { 18 } \mathrm { C } _ { 2 }$\\
(4) ${ } ^ { 18 } \mathrm { C } _ { 3 }$

Paper Questions

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