SOLUTION: Theorem 1.11 states that: (𝑛 choose 𝑟) = (𝑛 − 1 choose 𝑟) + (𝑛 − 1 choose 𝑟 − 1). Use factorials to prove this t

Algebra ->  Permutations -> SOLUTION: Theorem 1.11 states that: (𝑛 choose 𝑟) = (𝑛 − 1 choose 𝑟) + (𝑛 − 1 choose 𝑟 − 1). Use factorials to prove this t      Log On


   

Question 1065679: Theorem 1.11 states that: (𝑛 choose 𝑟) = (𝑛 − 1 choose 𝑟) + (𝑛 − 1 choose 𝑟 − 1). Use factorials to prove this theorem.
Answer by ikleyn(52779) About Me  (Show Source):
You can put this solution on YOUR website!
.
See the lesson
    - Binomial Theorem, Binomial Formula, Binomial Coefficients and Binomial Expansion
in this site.

Same identity, slightly different designation for indexes.

Also, you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this textbook under the topic
"Binomial expansion, binomial coefficients, Pascal's triangle".