SOLUTION: Please help... Find the coefficient of the given term in the binomial expansion x^11y^3 term, (x+y)^14 Thank you.

First of all, it’ll have to be determined what TERM number produces .



Since the exponent on the binomial is 14, it follows that there will be 15 (FIFTEEN) terms, and the term number containing  will be the 15th – 11th term, or the 4th term.



To find a specific term in a BINOMIAL EXPANSION, we use the following formula: 

, where r = term number 





As seen above, the 4th term of the sequence will have the following coefficient on x: . This results in:   

You could also check PASCAL’S triangle and look for the coefficient for the 4th term of a BINOMIAL EXPANSION with a binomial that’s being raised to the 14th power. 

This is 364.