Can you salve
⁶C³
As an AI language model, I can help you solve ⁶C³.
⁶C³ can be calculated as follows:
⁶C³ = 6! / (3! * (6 - 3)!)
⁶C³ = (6 * 5 * 4) / (3 * 2 * 1)
⁶C³ = 20
Therefore, ⁶C³ = 20.
To solve "+C³", first we need to clarify what the term "+C³" represents. However, if you meant to write "6C3", it represents "6 choose 3", which is the number of ways to choose 3 items out of a set of 6 items, without regard to the order in which they are chosen.
The formula for "n choose r" is:
nCr = n! / (r! * (n - r)!)
Where "n!" represents the factorial of n, which is the product of all positive integers less than or equal to n.
Using this formula, we can calculate 6C3:
6C3 = 6! / (3! * (6 - 3)!)
6! = 6 * 5 * 4 * 3 * 2 * 1 = 720
3! = 3 * 2 * 1 = 6
6 - 3 = 3
Plugging these values into the formula, we get:
6C3 = 720 / (6 * 3 * 2 * 1 * 3 * 2 * 1)
= 720 / (6 * 6)
= 720 / 36
= 20
Therefore, 6C3 is equal to 20.