Question

For a segment of a radio​ show, a disc jockey can play 6 records. If there are 11 records to select​ from, in how many ways can the program for this segment be​ arranged? ________ ways.

Answer 1

The records can be select in 332,640 ways.

Explanation:

Consider the provided information.

There are 11 records to select from and a disc jokey can play 6 records.

Here, we need to find the number of permutation of n = 11 records taken r = 6 at a time.

Use the formula:
`^nP_r=(n!)/((n-r)!)`

Substitute the respective values in the above formula.

`^(11)P_6=(11!)/((11-6)!)`

`^(11)P_6=(11!)/(5!)`

`^(11)P_6=(5!*6*7*8*9*10*11)/(5!)`

`^(11)P_6=332640`

Hence, the records can be select in 332,640 ways.