Permutation vs. Combination

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What is a permutation?

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A permutation is an arrangement of objects in a specific order. The order matters in permutations.

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What is a combination?

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A combination is a selection of objects where the order does not matter. It focuses on the group rather than the arrangement.

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When do you use permutations?

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Use permutations when the arrangement or order of the selected items is important.

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When do you use combinations?

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Use combinations when the arrangement or order of the selected items is not important.

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How do you calculate permutations of n items taken r at a time?

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How do you calculate combinations of n items taken r at a time?

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Example of a permutation problem: How many ways can you arrange 3 books from a shelf of 5?

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Example of a combination problem: How many ways can you choose 2 fruits from a basket of 4?

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What is the difference between permutations and combinations?

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Permutations consider the order of selection, while combinations do not.

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If you have 10 different toppings, how many ways can you choose 4?

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