Question

John is going to line up his four golf trophies on a shelf in his bedroom. How many different possible arrangements can he make?

a) 24
b) 16
c) 10
d) 4

Answer 1

a) 24

Answer 2

thanks

Answer 3

no problem!

Answer 4

can you explain

Answer 5

please

Answer 6

hello

Answer 7

you see, it says, 4 golf trophies. so, you times 1, 2, 3, 4 =24

4!= 4* 3* 2* 1 = 24

Answer 8

Consider the fact that you basically have 4 slots:
_ _ _ _

Now, in the first slot, you have 4 possible trophies to place into that slot (A, B, C, and D). Let's put C in the first slot:
C _ _ _

This means that we have 3 choices for the second slot (A, B, and D). Let's put B in the second slot.
C B _ _

Now we have 2 choices for the third slot (A and D). Let's place A in the third slot:
C B A _

Finally, we have only 1 choice for the last one (D).
C B A D


To recap, we have 4 for the first slot, 3 for the second, 2 for the third, and 1 for the last one. This gives us 4*3*2*1, which we call 4! ("four factorial").