Evaluate P(8,4)/P(4,1)

Answer 1

First, we need to determine what P(n,r) represents. P(n,r) represents the number of permutations of r objects chosen from a set of n distinct objects, where order matters.

Therefore, P(8,4) represents the number of ways to choose and arrange 4 objects from a set of 8 distinct objects.

P(4,1) represents the number of ways to choose and arrange 1 object from a set of 4 distinct objects. This is simply 4, as there are 4 ways to choose one object from a set of 4.

To calculate P(8,4)/P(4,1), we need to first calculate P(8,4):

P(8,4) = 8 x 7 x 6 x 5 = 1680

Now we can divide P(8,4) by P(4,1):

P(8,4)/P(4,1) = 1680/4 = <<1680/4=420>>420

Therefore, the value of P(8,4)/P(4,1) is 420.