A pizza shop offers the toppings shown below. How many different 3-topping pizzas can you make?pepperoni mushrooms sausage onion ham (1 point) a) 6 b)10 c)4 d)5

Question

A pizza shop offers the toppings shown below. How many different 3-topping pizzas can you make?pepperoni mushrooms sausage onion ham (1 point) a) 6  b)10  c)4  d)5

anonymous · Answer

how many ways can you choose 3 items from a set of 5?  i.e. what is $_5C_3$ ?

anonymous · Answer

?

anonymous · Answer

5 ?

geerky42 · Answer

$$\Large ^nC_r = \dfrac{n!}{(n-r)!r!}$$

So  $\Large^5C_3 = \dfrac{5!}{(5-3)!3!}$

anonymous · Answer

i am lost :(

geerky42 · Answer

5! = 5·4·3·2·1
3!  = 3·2·1
2! = 2·1

So $\dfrac{5!}{3!2!} = \dfrac{5\cdot4\cdot3\cdot2\cdot1}{(3\cdot2\cdot1)\cdot(2\cdot1)} = \dfrac{5\cdot4}{2\cdot1} = \cdots~?$