How many ways can 4 pizza toppings be chosen from 12 available toppings

Total available ways for pizza topping is 495.

Step-by-step-explanation:

Given:

Number of pizza topping chosen = 4

Total number of Pizza topping = 12

Find:

Total available ways

Computation:

Total available ways = [Total number of Pizza topping]! / [Total number of Pizza topping - Number of pizza topping chosen]![Number of pizza topping chosen]!

Total available ways = 12! / [(12-4)!][4!]

Total available ways = [12 × 11 × 10 × 9] / [4 × 3 × 2 × 1]

Total available ways = 11,880 / 24

Total available ways = 495

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There are 495 different ways to choose 4 pizza toppings from 12.

Step-by-step explanation:

12!/8!4! = 12*11*10*9/(4*3*2) = 11*9*5 = 495

7 weeks

step-by-step explanation:

convert each fraction to the least common multiple of 20, so 3/4 = 15/20 & 1/10 = 2/20, then divide 15 by 2 and you get a little over 7, so the food will last 7 weeks.

part a: 1.08

part b: 27.59