what is the value of P(6,4)?
P(6,4) = 6!/(6-4)! = 6!/2! = 6*5*4*3 = 360
To determine the value of P(6,4), we need to understand what "P" represents. In mathematics, "P" often represents permutations.
Permutations refer to the arrangement of objects or elements in a specific order. The value of P(n, r) represents the number of ways to arrange "r" objects from a set of "n" objects, where the order is important and repetition is not allowed.
To find P(6,4), we can use the permutation formula:
P(n, r) = n! / (n - r)!
In this case, n = 6 and r = 4. We need to find the factorial of both 6 and 6 - 4 (which is 2).
Calculating the factorial of a number means multiplying that number by all positive integers less than it down to 1. For example, 6! (6 factorial) is calculated as 6 x 5 x 4 x 3 x 2 x 1.
Using the formula, we can calculate P(6,4) as follows:
P(6,4) = 6! / (6 - 4)!
= 6! / 2!
Calculating each factorial gives us:
P(6,4) = (6 x 5 x 4 x 3 x 2 x 1) / (2 x 1)
= 720 / 2
= 360
Therefore, the value of P(6,4) is 360.