Question

For a segment of a radio show, a disc jockey can play 7 records. If there are 13 records to select from, in how many ways can the program for this segment be arranged?

Answer 1

The number of ways the program can be arranged for this segment is 8, 648, 640 ways

What is permutation?

It is important to note that the formula for finding the permutation or arrangement of a set of dats is given as;

Permutation = $\frac{n!}{(n-r)!}$

where

• n = number to select from = 13
• r = number of objects selected = 7

Let's substitute the values into the formula for permutation, we have

Permutation = $\frac{13!}{13 - 7!}$

Find the difference of the denominator

Permutation = $\frac{13!}{6!}$

Find the factorial of the values

Permutation = $\frac{6,227,020,800}{720}$

Divide the numerator by the denominator

Permutation = 8, 648, 640 ways

Thus, the number of ways the program can be arranged for this segment is 8, 648, 640 ways

Learn more about permutation here:

https://brainly.com/question/12468032

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