A pizza shop offers 5 toppings. How many different 3-topping pizzas can you make?
1)6
2)10
3)4
4)5
I think #2
The problem is a combination because the order doesn't matter so you have to use the formula nCr equal 5C3 = 10
Why do you think it is #2 ?
#2 was correct, I just wanted to know what your were thinking
you are choosing 3 of the 5 toppings which is C(5,3) = 10
To determine the number of different 3-topping pizzas you can make from a selection of 5 toppings, you can use the concept of combinations.
The formula for combinations is:
nCr = n! / (r! * (n-r)!)
Where n is the total number of items and r is the number of items taken at a time.
In this case, you have 5 toppings to choose from (n = 5) and you want to select 3 toppings (r = 3).
Using the formula, the calculation becomes:
5C3 = 5! / (3! * (5-3)!)
= 5! / (3! * 2!)
Simplifying further,
5C3 = (5 * 4 * 3!) / (3! * 2 * 1)
= (5 * 4) / (2 * 1)
= 20 / 2
= 10
Therefore, you can make 10 different 3-topping pizzas from the given selection.
So, option #2 is correct.
I’m doing this same problem but can’t figure how you came up with 10. Can you help
Me figure out how you solved it