What is the coefficient of `x^(3)y^(4)" in "(2x+3y^(2))^(5)` ?A. 240B. 360C. 720D. 1080

What is the coefficient of `x^(3)y^(4)" in "(2x+3y^(2))^(5)` ?A. 240B.

1.	What is the coefficient of `x^(3)y^(4)" in "(2x+3y^(2))^(5)` ?A. 240B. 360C. 720D. 1080
Answer» Correct Answer - C `T_(r)=""^(n)C_(r-1)(2x)^(r-1)(3y^(2))^(n-1+1)` `T_(4) = =""^(5)C_(3)(2x)^(3) (3y^(2))^(2)` `=(5!)/(3!2!)2^(3) .x^(3) .9y^(4)=(5.4)/(2.1)xx8xx9xxx^(3)y^(4)=720 x^(3)y^(4)` `therefore" Coefficient of "x^(3)y^(4)=720`

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