maximum of combinations

The maximum number of combinations refers to the greatest number of ways you can choose a subset of items from a larger set, without considering the order. For example, if you have 10 different cards and want to select 3, the maximum combinations are the total unique groups of 3 cards you can form from those 10. Mathematically, this is calculated using the combination formula, which accounts for all possible groupings where the order doesn’t matter. The maximum occurs when choosing the largest possible subset size, often equal to the total set size itself, where the only combination is the entire set.