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- https://math.libretexts.org/Bookshelves/Combinatorics_and_Discrete_Mathematics/A_Cool_Brisk_Walk_Through_Discrete_Mathematics_(Davies)/06%3A_Structures/6.3%3A_CombinationsIf we want to choose 4 or 5 of our top 10 customers to participate in a focus group, how many different combinations of participants could we have? (104)+(105), since we want the n...If we want to choose 4 or 5 of our top 10 customers to participate in a focus group, how many different combinations of participants could we have? (104)+(105), since we want the number of ways to pick 4 of them plus the number of ways to pick 5 of them.
- https://math.libretexts.org/Bookshelves/Mathematical_Logic_and_Proof/Gentle_Introduction_to_the_Art_of_Mathematics_(Fields)/07%3A_Proof_Techniques_III_-_Combinatorics/7.04%3A_The_Algebra_of_CombinationsA binomial is a polynomial with two terms. It seems likely that you will have already seen the arrangement of these binomial coefficients into a triangular array – known as Pascal’s triangle. The thin...A binomial is a polynomial with two terms. It seems likely that you will have already seen the arrangement of these binomial coefficients into a triangular array – known as Pascal’s triangle. The thing that makes this triangle so nice and that leads to the strange name “binomial coefficients” for the number of k-combinations of an n-set is that you can use the triangle to (very quickly) compute powers of binomials.
- https://math.libretexts.org/Courses/Mount_Royal_University/Mathematical_Reasoning/5%3A_Basic_Concepts_of_Probability/5.1%3A_CountingMost of us think that counting is easy is 1,2,3.... When counting objects, one needs to careful on not counting more than once and missing an objects. In this section, we explore some ideas behind co...Most of us think that counting is easy is 1,2,3.... When counting objects, one needs to careful on not counting more than once and missing an objects. In this section, we explore some ideas behind counting.
