What is the difference between permutations and combinations?
An example of an AI chatbot conversation about permutations and combinations in mathematics.
What is the difference between permutations and combinations?
Permutations are arrangements of items where order matters, while combinations are selections where order doesn't matter.
Can you give me an example of permutations?
Sure! If you have three letters A, B, and C, the permutations are ABC, ACB, BAC, BCA, CAB, and CBA.
And what about combinations?
For combinations, using the same letters A, B, and C, the combinations of two letters are AB, AC, and BC.
How do I calculate permutations and combinations mathematically?
Permutations are calculated using n!/(n-r)!, and combinations are calculated using n!/[(r!)(n-r)!], where n is the total items and r is the selection.
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