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

Answer 1

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

Answer 2

?

Answer 3

5 ?

Answer 4

\[\Large ^nC_r = \dfrac{n!}{(n-r)!r!}\]

So \(\Large^5C_3 = \dfrac{5!}{(5-3)!3!}\)

Answer 5

i am lost :(

Answer 6

5! = 5·4·3·2·1
3! = 3·2·1
2! = 2·1

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