![]() ![]() 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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