If expansion of {left( {{y^2} + frac{c}{y}} right)^5} , coefficient of y will be

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7.Binomial Theorem

easy

If the expansion of ${\left( {{y^2} + \frac{c}{y}} \right)^5}$, the coefficient of $y$ will be

A

$20c$

B

$10c$

C

$10{c^3}$

D

$20{c^2}$

Solution

(c) $2(5 -r) + (-1) r = 1 $

$\Rightarrow 10 -2r -r = 1 $

$\Rightarrow \,r = 3$

Thus coefficient of y is $^5{C_3}{c^3} = \frac{{5 \times 4}}{{2 \times 1}}{c^3} = 10{c^3}$.

Standard 11

Mathematics

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