Answer:
Winnie can arrange 7 trophies in 7! = 5040 ways to display trophies.
Step-by-step explanation:
Consider an array of 7 places where trophies can be arranged.
Since trophy 1 has 7 places choices, we can place it in any of 7 places.
Similarly trophy 2 has 6 options left to be placed as we have placed trophy 1 already at one of the place.
Continuing similarly, trophy 3 has 5 options, trophy 4 has 4 options, trophy 3 has 3 options, trophy 2 has 2 options and trophy 1 has only 1 option left in which it can be placed in the array.
Thus, total number of ways to display = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 7!
So, Winnie can arrange 7 trophies in 7! = 5040 ways to display trophies.
