Question
Give an example problem where you would use Permutation skills and formula to solve. Solve your example problem showing all your steps.
Answers
GPT 3.5
Example problem:
A pizza shop offers 5 different toppings for their pizzas (pepperoni, mushrooms, onions, green peppers, and olives). How many different pizzas can be made if you can choose 3 toppings for each pizza?
Solution:
To solve this problem, we can use the permutation formula:
nPr = n! / (n-r)!
Where n is the total number of items to choose from and r is the number of items to choose.
In this case, n = 5 (number of toppings) and r = 3 (number of toppings to choose for each pizza).
Plugging in the values, we get:
5P3 = 5! / (5-3)!
= 5! / 2!
= (5 x 4 x 3 x 2 x 1) / (2 x 1)
= 120 / 2
= 60
Therefore, there are 60 different pizzas that can be made by choosing 3 toppings from the 5 available toppings.
A pizza shop offers 5 different toppings for their pizzas (pepperoni, mushrooms, onions, green peppers, and olives). How many different pizzas can be made if you can choose 3 toppings for each pizza?
Solution:
To solve this problem, we can use the permutation formula:
nPr = n! / (n-r)!
Where n is the total number of items to choose from and r is the number of items to choose.
In this case, n = 5 (number of toppings) and r = 3 (number of toppings to choose for each pizza).
Plugging in the values, we get:
5P3 = 5! / (5-3)!
= 5! / 2!
= (5 x 4 x 3 x 2 x 1) / (2 x 1)
= 120 / 2
= 60
Therefore, there are 60 different pizzas that can be made by choosing 3 toppings from the 5 available toppings.
Related Questions
How can the quadratic formula be used to solve the equation √(8x+7) = 5?
A. Solve for x and give the...
Give an example problem where you would use Combination skills and formula to solve. Solve your exam...
Give an example problem where you would use Permutation skills and formula to solve. Solve your exam...
Give an example problem where you would use Combination skills and formula to solve. Solve your exam...