Oliver is chossing 3 of his 4 hats to take on vacation ?????
What is your question?
Permutations.....
To find out how many ways Oliver can choose 3 hats out of 4 hats, we can use the concept of combinations.
In general, the number of ways to choose "r" items from a set of "n" items is given by the combination formula:
C(n, r) = n! / (r! * (n - r)!)
Here, "n!" denotes the factorial of "n," which is the product of all positive integers up to "n."
In this case, Oliver has 4 hats and wants to choose 3 of them. We can plug these values into the combination formula:
C(4, 3) = 4! / (3! * (4 - 3)!)
Simplifying further:
C(4, 3) = 4! / (3! * 1!)
Since 1! is equal to 1, the formula becomes:
C(4, 3) = 4 / (3 * 1)
Now, calculating:
C(4, 3) = 4 / 3 = 4
Therefore, there are 4 ways for Oliver to choose 3 hats out of his 4 hats for his vacation.