A ballroom dance couple has learned 8 different routines and is going to perform 7 of them at a local competition. How many different ways could they arrange their performance?

8

Step-by-step explanation:

The number of permutations of n items taken m at a time is given by the following formula:

  (here order matters)

Here the couple need to select 7  routines out of 8 to perform in an order.

So, the number of ways to arrange that =

Hence, the number of different ways to arrange their performance = 8

2/3

step-by-step explanation:

step-by-step explanation: