Question

Naomi has 5 trophies. In how many different ways can Naomi line the trophies up on her shelf?
A.5
B.60
C.120
Please help

Answer 1

let's say the trophies are A B C D E
How many ways can 5 things be arranged?

5 * 4 * 3 * 2 * 1
which equals 120

That can be shortened into 5! which is called 5 factorial.

Answer 2

he first trophy can be placed in one of 5 places, the second in one of 4 place, the third in one of 3 places, the fourth in one of 2 places, the last one in only one place.

So 5 x 4 x 3 x 2 x 1 =120