Evaluate the quantity
P(10,4)
you have do something like the one this website:
h ttps://socratic.org/questions/how-do-you-evaluate-p-10-2
There's no space between the h and ttps
I did your work on this website:
www.calculatorsoup.com/calculators/discretemathematics/permutations.php?n=10&r=4&action=solve
To evaluate the quantity P(10, 4), we need to understand that P represents the permutation function. The permutation function calculates the number of different ways to arrange a set of objects.
The formula for the permutation function is given by:
P(n, r) = n! / (n - r)!
Where "n" represents the total number of objects available and "r" represents the number of objects to be selected.
In this case, P(10, 4) means we have a total of 10 objects and we want to select and arrange 4 objects from those 10.
Plugging the values into the formula, we have:
P(10, 4) = 10! / (10 - 4)!
Now, let's calculate step by step:
1. Calculate (10 - 4)!:
(10 - 4)! = 6!
2. Calculate 6!:
6! = 6 x 5 x 4 x 3 x 2 x 1 = 720
3. Calculate 10!:
10! = 10 x 9 x 8 x 7 x 720 = 3,628,800
4. Calculate P(10, 4):
P(10, 4) = 3,628,800 / 720 = 5,040
Therefore, P(10, 4) is equal to 5,040.