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

Answer:

The records can be select in 332,640 ways.

Step-by-step 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: $^nP_r=\frac{n!}{(n-r)!}$

Substitute the respective values in the above formula.

$^{11}P_6=\frac{11!}{(11-6)!}$

$^{11}P_6=\frac{11!}{5!}$

$^{11}P_6=\frac{5!\times6\times7\times8\times9\times10\times11}{5!}$

$^{11}P_6=332640$

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