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yakin
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How come the combination of C(70,67) is 54,740?
yakin said:How come the combination of C(70,67) is 54,740?
The combination problem is a mathematical concept that involves determining the number of ways to choose a subset of objects from a larger set without regard to the order in which they are chosen.
The combination problem is often represented using the notation "C(n,r)" where n represents the total number of objects in the set and r represents the number of objects being chosen.
In this case, C(70,67) = 54,740 means that there are 54,740 possible combinations of 67 objects that can be chosen from a set of 70 objects.
The combination problem differs from the permutation problem in that order does not matter in combinations, whereas it does matter in permutations. For example, choosing three people to be on a team is a combination problem, as the order in which the team members are chosen does not affect the outcome. However, choosing a first, second, and third place winner in a race is a permutation problem, as the order in which the winners are chosen does affect the outcome.
The combination problem has numerous applications in fields such as mathematics, statistics, and computer science. It can be used to calculate the probability of certain events occurring, to determine the number of possible outcomes in a game or lottery, and to analyze data in various research studies.