Amovie theater was putting up their posters in the frames they had installed on the wall for upcoming attractions. they have 8 new movie posters and only 4 installed frames along the wall to hang them. so, they won't be able to use them all. in how many different ways can they arrange the new movie posters in the frames?

70

1680

4096

40320

1680

Step-by-step explanation:

Since there are 4 places (frames) to put up each poster, we think individually:

In the first place they can place ANY OF THE 8 POSTERS

In 2nd place, they can place ANY OF THE REMAINING 7 POSTERS

In 3rd place, they can place ANY OF THE REMAINING 6 posters

and

in last place, they can place ANY OF THE REMAINING 5 posters

The number of ways is the multiplication of them all, so:

8 * 7 * 6 * 5 ways = 1680 ways

18.75 gallons

step-by-step explanation: