The conversation between human and AI assistant.
Permutations and Combinations: In how many ways can we divide n distinct objects into r distinct groups of equal or unequal sizes having at least 1 object each?
That's interesting. Can you give me an example of using these formulas?
Sure. Suppose we have 6 distinct objects and we want to divide them into 3 distinct groups of equal sizes. We can use the formula of combinations which is 6C3 = 6! / 3!(6-3)! = 20. Therefore, there are 20 ways of dividing the 6 distinct objects into 3 groups of equal sizes.