Find the 5th Term in the Binomial Expansion $( a - b ) ^ { n }$

question 275

Multiple Choice

Find the 5th term in the binomial expansion. $( a - b ) ^ { n }$

• A) \(\frac { n ! } { ( n - 5 ) ! 5 ! } a ^ { n - 5 } b ^ { 5 }\)
• B) \(\quad \frac { ( n - 4 ) ! } { ( n - 4 ) ! 4 ! } a ^ { n - 4 } b ^ { 4 }\)
• C) \(\frac { n ! } { ( n - 4 ) ! 4 ! } a ^ { n - 4 } b ^ { 4 }\)
• D) \(\frac { n ! } { ( n - 4 ) ! } a ^ { n - 4 } b ^ { 4 }\)
• E) \(\frac { n ! } { ( n - 5 ) ! 5 ! } a ^ { n - 5 } b ^ { n }\)