Objective Count the number of ways to choose k items from n distinct items. Input: Two integers, n (total items) and k (items to choose). Output: An integer representing the number of combinations. Functionality Overview: Use the formula for combinations: \$ C(n, k) = \frac{n!}{k!(n - k)!}\$...

Associative, alternative, flexible, oh my An operation \$(\ast)\$ is associative iff \begin{equation} x\ast(y\ast z) = (x \ast y) \ast z \end{equation} for any choice of \$x\$, \$y\$, and \$z\$. A lot of useful operations are associative. However sometimes an operation is almost associative, but ...

Objective Count the number of ways to choose k items from n distinct items. Input: Two integers, n (total items) and k (items to choose). Output: An integer representing the number of combinations. Functionality Overview: Use the formula for combinations: \$ C(n, k) = \frac{n!}{k!(n - k)!}\$...

Introduction You are tasked with creating a function that takes a binary number as input and determines whether it meets specific criteria based on combinatorics. Challenge Check if the number of '1's in the binary representation is even or odd, and if the total number of bits is a prime number. ...