Final answer:
To find the number of 3-topping pizzas possible with 6 available toppings, use the combinations formula C(6,3), which gives us 20 different pizza options.
Step-by-step explanation:
The question is asking for the number of different 3-topping pizzas that can be created using 6 available toppings, assuming that no topping can be used more than once on a single pizza. To solve this, we need to calculate the combinations of 6 toppings taken 3 at a time, which is a common problem in combinatorics, a branch of mathematics. The mathematical formula for combinations is C(n,r) = n! / (r!(n-r)!), where n is the total number of items, r is the number of items to choose, '!' denotes factorial, and C(n,r) represents the number of combinations.
To find the number of 3-topping pizzas, we use C(6,3) = 6! / (3!(6-3)!), which simplifies to (6 x 5 x 4) / (3 x 2 x 1) = 120 / 6 = 20. Therefore, there are 20 different 3-topping pizzas possible.