How do you use the binomial formula to find the coefficient of p^(4)z^(19) in the expansion of (2p + z)^23?

Jan 29, 2016

${32}^{23} {C}_{4}$
In the expansion of ${\left(x + y\right)}^{n}$, r+1 th term is ${T}_{r + 1} {=}^{n} {C}_{r} {x}^{r} {y}^{n - r}$.
Taking r=4, n=23, the fifth term would be ${=}^{23} {C}_{4} 32 {p}^{4} {z}^{19}$.
The coefficient of ${p}^{4} {z}^{19}$ would be ${32}^{23} {C}_{4}$