Answer:
The probability is [tex]\frac{24}{70}[/tex].
Step-by-step explanation:
topping options available: four vegetables, two meats, and two cheeses
Number of topping on one pizza = 4
Getting two vegetables = (4 C 2)
Getting one meat = (2 C 1)
Getting one cheese = (2 C 1)
Choosing 4 toppings out of 8 = (8 C 4)
probability that the pizza is ordered with exactly two vegetables, one meat, and one cheese
[tex]\frac{(4C2)\times (2C1)\times (2C1)}{(8C4)}\\\\\frac{6\times 2\times 2}{70}\\\\\frac{24}{70}[/tex]
