What are combinations in mathematics?
An example of an AI chatbot conversation about understanding combinations in mathematics.
What are combinations in mathematics?
Combinations refer to the selection of items from a larger set where the order does not matter. For example, choosing 2 fruits from a basket of 5.
Can you give me a formula for calculating combinations?
Sure! The formula for combinations is C(n, r) = n! / (r!(n - r)!), where n is the total number of items, and r is the number of items to choose.
What is the difference between combinations and permutations?
The key difference is that permutations consider the order of selection, while combinations do not. For example, choosing A and B is the same as choosing B and A in combinations.
Can you provide an example of calculating combinations?
Absolutely! If you want to choose 3 students from a class of 10, you would calculate it as C(10, 3) = 10! / (3!(10 - 3)!) = 120.
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