Answer:
66
Step-by-step explanation:
You have 12 options to choose from when you start; after you've chosen your first topping, you'll have 11 options for your second topping. Since you have 11 possible options for toppings for each of the initial 12 choices, you have a total of 12 x 11 = 132 ways of choosing two toppings. To account for the fact that order doesn't matter, we can divide that number by 2, since every combination will show up exactly one more time in reverse order (If we get pepperoni first and pineapple second, for instance, we'll end up with the same toppings as if we'd picked pineapple first and pepperoni second (I have no idea why you'd put pineapple on pizza, though))
At any rate, dividing by two gives us a total topping choice number of 132 / 2 = 66.
*100% Correct answers
Question 1
A movie theater was putting up their posters in the frames they had installed on the wall for upcoming attractions. They have 8 new movie posters and only 4 installed frames along the wall to hang them. So, they wont be able to use them all. In how many different ways can they arrange the new movie posters in the frames?
1680
Question 2
At a mall there are 5 jewelry stores. Allison is looking to purchase a necklace but only has time to visit 3 jewelry stores. In how many paths could she take to visit 3 of the 5 stores at the mall?
60
Question 3
The principal is collecting data to determine how many graduation tickets will be needed by students at the next graduation. She randomly asks 3 students from Mr. Winking's Class which has 16 students in it. How many different groups of 3 does the principal have to pick from?
560
Question 4
How many 2 topping pizzas are possible at Padre Juan's Pizza if there are 12 toppings to choose from and the order in which you put the toppings on the pizza does not matter?
66
Question 5
The Miss Teen Georgia pageant is taking place and there are 25 contestants. How many different ways could the pageant have a winner, runner up, and a 2nd place winner.
13800
