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Find the 4th Term in the Binomial Expansion (z+y)n( z + y ) ^ { n }

Question 210

Multiple Choice

Find the 4th term in the binomial expansion. (z+y) n( z + y ) ^ { n }


A) (n3) !(n3) !3!zn3y3\frac { ( n - 3 ) ! } { ( n - 3 ) ! 3 ! } z ^ { n - 3 } y ^ { 3 }
B) n!(n4) !zn4y4\frac { n ! } { ( n - 4 ) ! } z ^ { n - 4 } y ^ { 4 }
C) n!(n3) !3!zn3y3\quad \frac { n ! } { ( n - 3 ) ! 3 ! } z ^ { n - 3 } y ^ { 3 }
D) n!(n4) !4!zn4y4\frac { n ! } { ( n - 4 ) ! 4 ! } z ^ { n - 4 } y ^ { 4 }
E) n!(n3) !3!zn3yn\frac { n ! } { ( n - 3 ) ! 3 ! } z ^ { n - 3 } y ^ { n }

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