What is the difference between factorial and permutations?
Factorial refers to the product of all positive integers up to a certain number, while permutations count the arrangements of a set.
Can you give me an example of a factorial?
Sure! The factorial of 5, denoted as 5!, is 5 × 4 × 3 × 2 × 1, which equals 120.
And how do you calculate permutations?
Permutations can be calculated using the formula n! / (n - r)!, where n is the total number of items and r is the number of items to arrange.
Can you show me a permutation example with 3 items?
Absolutely! For 3 items (A, B, C), the permutations are ABC, ACB, BAC, BCA, CAB, and CBA, totaling 6.
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