There are six different toppings for pizzas, sausage, hamburger, pepperoni, ham bacon and pork. There are three different cheeses, american, mpzzarella, parmeasan. the pizza comes with two different meats and one chese , how many different combinations of pizzas are possible?

C(6,2) * C(3,1) = 15*3 = 45

pizza restaurant offers 4 different sizes of pizza, 2 different styles of crust, and 8 toppings. How many pizzas can be made if you must select one size, 1 style of crust, and 1 topping?

To calculate the number of different combinations of pizzas, we need to multiply the number of options for each topping category.

First, let's determine the number of options for meat toppings. Since the pizza comes with two different meats, we need to choose 2 out of the 6 options available. This can be calculated using the formula for combinations:

C(n, r) = n! / (r! * (n-r)!), where n is the total number of options and r is the number of options to choose.

C(6, 2) = 6! / (2! * (6-2)!)
C(6, 2) = 6! / (2! * 4!)
C(6, 2) = (6 * 5 * 4!) / (2! * 4!)
C(6, 2) = (6 * 5) / 2
C(6, 2) = 3 * 5
C(6, 2) = 15

Next, let's determine the number of options for the cheese topping. Since there are 3 different cheese options and we choose 1, there are simply 3 options to choose from.

Now, we multiply the number of meat combinations by the number of cheese options:

Number of different combinations = 15 (meat combinations) * 3 (cheese options)
Number of different combinations = 45

Therefore, there are 45 different combinations of pizzas possible.

To determine the number of different combinations of pizzas possible with the given toppings, we can use the principles of permutations and combinations.

Since the pizza comes with two different meats and one cheese, we need to select two toppings from the six available meat options and one topping from the three available cheese options.

To calculate the number of combinations, we can use the formula for combinations:
nCr = n! / (r!(n-r)!)

Where n represents the total number of options and r represents the number of choices we want to make.

Number of combinations for meat toppings:
6C2 = 6! / (2!(6-2)!) = 6! / (2!4!) = (6*5*4*3*2*1) / [(2*1)*(4*3*2*1)] = 15

Number of combinations for cheese toppings:
3C1 = 3! / (1!(3-1)!) = 3! / (1!2!) = (3*2*1) / [(1)*(2*1)] = 3

To find the total number of combinations, we multiply the number of combinations for meat toppings by the number of combinations for cheese toppings:
Total combinations = 15 * 3 = 45

Therefore, there are 45 different combinations of pizzas possible with the given toppings.