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math equation for number of possible combinations. The number of combinations of n distinct objects taken r at a time is. This means that if you have a lock that requires the person to enter 6 different digits from a choice of 10 digits and repetition is okay but order matters there are 1000000 possible permutations.
Formula for Combinations of n Distinct Objects. Or we could do it this way. The number of combinations of n objects taken r at a time is determined by the following formula.
A formula for the number of possible combinations of r objects from a set of n objects.
N C r n. Or we could do it this way. Find the number of subsets of the set 1 2 3 4 5 6 7 8 9 10 having 3 elements. So the formula for the number of permutations is n n-k.