You and two friends visit a pizza shop. There are 15 toppings. 5 toppings are meat and the rest are vegetable. Each of you orders a different topping (no repeats) at random. What is the probability that your group orders only meat toppings?

Question

anonymous · Answer

these are my choices..
A.1/10
B. 2/91
C. 3,003/10
D. 33/5

anonymous · Answer

@tHe_FiZiCx99

mathmale · Answer

Although this type of problem is not my forte, I'd like to suggest that you might approach it as a problem in combinations.

You have 15 different toppings taken 3 at a time (as there are 3 people in your group).
     C 
15     3   =  455, according to my TI-83Plus calculator.  By all means ask if you have further questions about this or want more explanation of how to calculate

     C 
15     3

anonymous · Answer

ohh so would it be 15 x 3

mathmale · Answer

'Fraid not.  Have you worked with combinations before?

      C
15       3   represents "the number of combinations possible when 3 values at a time are taken from 15 choices."   that comes out to 455.

The formula for that, in case you're interested, is

            15!
-----------------
  3! (15 - 3 )!

where the ! is to be interpreted as "factorial."   

Have you seen any of this before?

anonymous · Answer

no i havent sorry