You have 5 antiques and want to display 3 on a shelf. How many different 3-antique arrangements are possible?

(a) 15

(b) 60

(c) 9

(d) 6

Question

You have 5 antiques and want to display 3 on a shelf. How many different 3-antique arrangements are possible?

(a) 15 

(b) 60 

(c) 9

(d) 6

ash2326 · Answer

You need to choose 3 antiques out of 5, it's a problem of combination
$$5C3$$
Can you solve now ?

anonymous · Answer

5P3 = 60 so the answer is b..

anonymous · Answer

it is permutation..

anonymous · Answer

Actually, this problem does take order into account, so what is needed is, so what is needed is all orders or arrangements:

If you have "n" elements, then the first one can be any of "n", leaving "n - 1"

The second can be chosen from that "n - 1"

The third from any of "n - 2"

The total is :

(n)(n - 1)(n - 2)

where "n" is the total number of elements.

anonymous · Answer

Good luck to you in all of your studies and thx for the recognition! @Avalonaveree