A local pizzeria offers 11 toppings for their pizzas and you can choose any 5 of them for one fixed price. How many different types of pizzas can you order with 5 toppings?
A. 462
B. 120
C. 55,440
D. 332,640

Question

A local pizzeria offers 11 toppings for their pizzas and you can choose any 5 of them for one fixed price. How many different types of pizzas can you order with 5 toppings?
  A. 462 	
  B. 120 	
  C. 55,440 	
  D. 332,640

anonymous · Answer

@ganeshie8

ganeshie8 · Answer

you got 11 toppings,
u wanto pick 5 from them

ganeshie8 · Answer

# of ways of pickign 5 objects from 11 objects :    $\large   ^{11}C_5$

ganeshie8 · Answer

knw how to evaluate ?

anonymous · Answer

I'm not sure but is it like 11*12*13*14*15

ganeshie8 · Answer

something like that... but u need to divide 5! also

anonymous · Answer

$$(11!) / (  (5!) (11-5)!$$

anonymous · Answer

good job!

anonymous · Answer

I mean A !

ganeshie8 · Answer

$$^{11}C_5 =  \dfrac{11!}{5! (11-5)!} =  \dfrac{11\times 10 \times 9 \times 8 \times 7}{5 \times 4 \times  3 \times 2 \times 1} $$

ganeshie8 · Answer

A is $\large \color{red}{\checkmark}$

anonymous · Answer

Thank you ! :)