SOLUTION: Your favorite pizza parlor offers six meat toppings and eight veggie toppings. If you order a three-topping pizza at random, what is the probability that it is vegetarian? 14 to

Question 221683: Your favorite pizza parlor offers six meat toppings and eight veggie toppings. If you order a three-topping pizza at random, what is the probability that it is vegetarian?
14 toppings offered, so n = 14
Arrange in groups of 3, so r = 3
n!/r!(n-r)!
14!/3!(14-3)! = 364 possible combinations

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
My approach would be
How many possible 3 toppings are there?
Combinations of 14 things taken 3 at a time
(1)
How many 3 toppings are just veggie?
Combinations of 8 things taken 3 at a time
(2)
----------------------------------
The probability of getting 3 toppings just veggie
is (2) divided by (1)
(1)
(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
(2)
Probability 3 toppings are veggie

Hope I got it

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