# SOLUTION: Find the coefficent of x^5y^5 in the expansion of (2x+3y)^10 thank you

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 Click here to see ALL problems on Complex Numbers Question 63365: Find the coefficent of x^5y^5 in the expansion of (2x+3y)^10 thank youAnswer by venugopalramana(3286)   (Show Source): You can put this solution on YOUR website!Find the coefficent of x^5y^5 in the expansion of (2x+3y)^10 thank you BINOMIL THEOREM FOR (A+B)^N GIVES THE GENERAL TERM AS T (R+1) = [NCR] HERE N=10 A=2X B=3Y R=5...SINCE WE WANT COEFFICIENT OF (X^5) * (Y^5)WHICH OCCURS WHEN R=5 HENCE..SUBSTITUTING AS ABOVE T6= [10C5] =[(10*9*8*7*6)/(5*4*3*2*1)][[X^5](3^5][Y^5] COEFFICIENT OF (X^5) * (Y^5) IS = 252*32*243 =1959552