Book:Murray R. Spiegel/Mathematical Handbook of Formulas and Tables/Chapter 3

$3 \quad$ The Binomial Formula and Binomial Coefficients

 * $3.1$: Factorial


 * $3.2$: Factorial of $0$


 * $3.3$, $3.4$: Binomial Theorem: Integral Index


 * $3.5$: Binomial Coefficient: Integers: Definition 1


 * $3.6$: Pascal's Rule


 * $3.7$: Sum of Binomial Coefficients over Lower Index


 * $3.8$: Alternating Sum and Difference of Binomial Coefficients for Given $n$


 * $3.9$: Rising Sum of Binomial Coefficients


 * $3.10$: Sum of Even Index Binomial Coefficients


 * $3.11$: Sum of Odd Index Binomial Coefficients


 * $3.12$: Sum of Squares of Binomial Coefficients


 * $3.13$: Chu-Vandermonde Identity


 * $3.14$: Increasing Sum of Binomial Coefficients


 * $3.15$: Increasing Alternating Sum of Binomial Coefficients


 * $3.16$: Multinomial Theorem