Find the 4th term in the binomial expansion. $$( c + y ) ^ { n }$$
A)$\frac { n ! } { ( n - 3 ) ! 3 ! } c ^ { n - 3 } y ^ { n }$

B)
$\frac { n ! } { ( n - 4 ) ! 4 ! } c ^ { n - 4 } y ^ { 4 }$
C)
$\frac { n ! } { ( n - 3 ) ! 3 ! } c ^ { n - 3 } y ^ { 3 }$

D)
$\frac { n ! } { ( n - 4 ) ! } c ^ { n - 4 } y ^ { 4 }$

E)
$\frac { ( n - 3 ) ! } { ( n - 3 ) ! 3 ! } c ^ { n - 3 } y ^ { 3 }$

Question

Find the 4th term in the binomial expansion. $$( c + y ) ^ { n }$$
A)$\frac { n ! } { ( n - 3 ) ! 3 ! } c ^ { n - 3 } y ^ { n }$

B)
$\frac { n ! } { ( n - 4 ) ! 4 ! } c ^ { n - 4 } y ^ { 4 }$
C)
$\frac { n ! } { ( n - 3 ) ! 3 ! } c ^ { n - 3 } y ^ { 3 }$

D)
$\frac { n ! } { ( n - 4 ) ! } c ^ { n - 4 } y ^ { 4 }$

E)
$\frac { ( n - 3 ) ! } { ( n - 3 ) ! 3 ! } c ^ { n - 3 } y ^ { 3 }$

Quizplus · Accepted Answer

The 4th term in the binomial expansion is given by $\binom{n}{3} c^{n-3} y^3$, which matches option C.

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