Question

For a segment of a radio show , a disc jockey can play 7 records . If there are 9 records to select from , in how many ways can the program for this segment be arranged ?

Answer 1

Answer: 72

Step-by-step explanation:

From the question, we are informed that a disc jockey can play 7 records and that there are 9 records to select from for a particular segment of a radio show.

The number of ways that the program for the segment be arranged will be:

= 9! / 7!

= (9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1) / (7 × 6 × 5 × 4 × 3 × 2 × 1)

= 9 × 8

= 72