To calculate binomial coefficients on the Casio fx-9860G, use the "C" function found in the CATALOG menu, entering the values for n and r as in 4C2. For binomial distribution, navigate to the STAT menu, select DIST, then BINM, and choose Bpd, switching the input from "List" to "Variable" before entering your data. Users express frustration over the lack of included documentation for these functions with the calculator purchase. A link to the user manual is provided for further reference. Understanding these steps enhances the calculator's utility for statistical calculations.