Let's say that we wanted to pick 2 balls out of a bag of 3 balls colored red (R), green (G) and purple (P) 1 2 3 Examples of permutations Permutations without repetitions Permutations Calculator What is a permutation?Ī permutation is a selection of r items from a set of n items where the order we pick our items matters. We can see examples of this type of combinations when buying ice cream at an ice cream store since we can select flavors more than once (I could get two, three or even four scoops of chocolate ice cream if I wished) and I don't care about which scoop goes on top (so chocolate on top and vanilla on the bottom is the same to me as vanilla on top with a chocolate base). We can count the number of combinations with repetitions mathematically by using the combinations with repetitions formula where n = 3 and r = 2. Our options are: RR, RG, RP, GG, GP and PP. If each time we select a ball we place it back in the bag, how many unique combinations will we have?Ħ different ways. Let's say that we wanted to pick 2 balls out of a bag of 3 balls, colored red (R), green (G) and purple (P) 1 2 3 We cannot select a team member more than once (so we can't have a team with Danny, Danny and myself) and we do not care about who is selected first to the team (so if I am in a team with Bob and Tom it is the same to me as being in a team with Tom and Bob). We can see examples of this type of combinations when selecting teams for a sports game or for an assignment. We can count the number of combinations without repetition using the nCr formula, where n is 3 and r is 2. How many unique combinations will we have if we cannot repeat balls?ģ different ways. Let's say that we wanted to pick 2 balls out of a bag of 3 balls colored red (R), green (G) and purple (P). Examples of Combinations Combinations without repetitions Combinations Calculator What is a Combination?Ī combination is a selection of r items from a set of n items such that we don't care about the order of selection.
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