Question

You are choosing 4 of your 7 trophies and arranging them in a row on a shelfIn how many different ways can you choose and arrange the trophies?A. 840B. 28C. 24D. 5040

Answer 1

The formula to find how many different ways are there to choose a subgroup of r things from a group of n things is

`(n!)/((n-r)!)`

Here, you have 7 trophies and you want to choose 4 of them, so you have

`(7!)/((7-4)!)\text{ = }(5040)/(6)=840`

So there are 840 ways to choose your 4 trophies out of the 7 you have.