Question

Winnie has 7 soccer trophies she wants to display in an array .How many different arrays are possible ? Explain​

Answer 1

5040

Explanation:

There are 7 ways to choose the first slot, 6 ways to choose the second slot, 5 ways to choose the third slot, 4 ways to choose the fourth slot, 3 ways to choose the fifth slot, 2 ways to choose the 6th slot, and 1 way to choose the last slot, so

7! = 7*6*5*4*3*2*1

7! = 7*6!

7! = 7 * 720

7! = 5040