Question

For a segment of a radio show a disc jockey complained 10 records if there are 13 records to select from and how many ways can a program for this segment be arranged

Answer 1

The number of ways that a program for this segment be arranged would be 1,037,836,800

What is the number of ways?

We are told that the disc jockey can play 10 records while there are 13 records to select from. To determine the number of ways that a program from the segment can be arranged, we would have;

nPr = n!/(n - r)!

where n = 13

and r = 10

Substituting the values into the equation for nPr gives the following;

13!/(13 - 10)!

nPr = 1,037,836,800

So, the number of ways that a program for this segment can be arranged would be 1,037,836,800.