A pizza place offers 4 different cheeses and 10 different toppings. In how many ways can a pizza be made with 1 cheese and 4 toppings?

Question

campbell_st · Answer

well you will have 

Cheese       1st Topping   2nd Topp       3rd Top         4th topp
Choice        choice             choice            choice           choice
 
     4        x     10          x       9          x       8           x      7       = 


so if you choose a topping from any 10, there will only be 9 choices for the 2nd topping 

then only 8 toppings for the 3rd choice etc. 

multiply it out for the number of arrangements.

anonymous · Answer

850
		
840
		
830
		
820


these are the options.

campbell_st · Answer

ok... so its the above calculation divided by the number of arrangements of the 4 toppings. 

$$\frac{4 \times 10 \times 9\times 8 \times 7}{4 \times 3 \times 2\times 1}$$

kropot72 · Answer

^ That means the order in which each selection of 4 toppings is made does not matter.

anonymous · Answer

so 840?

campbell_st · Answer

yep.. looks good