Problem of the week #11 - June 11th, 2012

[Jameson]

Consider $(3x-2y)^7$. What is the coefficient of the $x^4y^3$ term?

Remember to read the POTW submission guidelines to find out how to submit your answers!

 

[Jameson]

Congratulations to the following members for their correct solutions:

1) Sudharaka
2) veronica1999
3) soroban

Solution (from soroban):

Spoiler

[tex]{7\choose4,3}(3x)^4(-2y)^3 \;=\;35(81x^4)(-8y^3) \;=\;-22,680x^4y^3 [/tex]

The coefficient is:[tex]\, \,-22,680.[/tex]