- #1
asdf1
- 734
- 0
for C(n, m), what values of n and m make C the largest?
C(n, m) is a mathematical function that represents the number of possible combinations of m items from a set of n items. This is also known as the combination formula.
The formula for C(n, m) is n! / (m! * (n-m)!), where n! represents n factorial (n * (n-1) * (n-2) * ... * 2 * 1). This formula can also be written as nCm or n choose m.
When C(n, m) is the largest, it means that the given combination of n and m yields the highest number of possible combinations. In other words, it represents the most efficient way of selecting m items from a set of n items.
The values of n and m that make C(n, m) the largest are when n is equal to m or when m is equal to 0. In other words, when we are selecting all the items from the set (n = m) or when we are not selecting any items (m = 0), there is only one possible combination and thus C(n, m) is the largest.
C(n, m) has many real-world applications, such as in probability, statistics, and combinatorics. It is used to calculate the number of ways a specific event can occur, or the number of possible outcomes in a given scenario. It is also used in fields such as genetics, where the number of possible gene combinations can be calculated using C(n, m).