In how many ways can 5 cards be arranged side-by-side on a table?

A.
5 ways

B.
25 ways

C.
120 ways

D.
3125 ways

Question

In how many ways can 5 cards be arranged side-by-side on a table?  
 
 

 
 

  

  A. 
  5 ways   
   

 
 

  

  B. 
  25 ways   
   

 
 

  

  C. 
  120 ways   
   

 
 

  

  D. 
  3125 ways

jim_thompson5910 · Answer

Assuming no repeats, there are 5 ways to fill slot A, 4 ways to fill slot B, 3 ways to fill slot C, etc etc, until you reach 1 way to fill slot E

jim_thompson5910 · Answer

So you have these 5 slots

ABCDE

that need to be filled with cards

jim_thompson5910 · Answer

how many ways total are there to fill them?

kayley01 · Answer

25?

jim_thompson5910 · Answer

you would multiply out each number, so 

5*4*3*2*1

each number represents the number of choices available for each slot (eg: 2 represents 2 ways to fill slot D)

kayley01 · Answer

120?

jim_thompson5910 · Answer

correct

jim_thompson5910 · Answer

there are 120 ways to order the 5 cards