Question

100pts: A room has 5 statues. You want to break the statues, one by one. In many different orders can you break these 5 statues?

Answer 1

• Total statues=5

Total ways

• n!
• 5!
• 5(4)(3)(2)(1)
• 120ways

Answer 2

120

Explanation:

You break the first statue

There are 5 different ways since there are 5 statues.

Now there are 4 statues left

There are 4 different ways since there are 4 statues.

Now there are 3 statues left

There are 3 different ways since there are 3 statues.

Now there are 2 statues left

There are 2 different ways since there are 2 statues.

Now there is 1 statues left

There is 1 different ways since there is 1 statue.

5*4*3*2*1