An ice cream shop has 15 different toppings for sundaes, and it is running a special for 3 free toppings. How many 3-topping sundaes can be made, assuming all 3 toppings chosen are different?

455

Step-by-step explanation:

This is a combination problem: we need to create groups of 3 elements from the pool of 15 options, and the order of the elements in the group doesn't matter.

So, to solve the problem, we need to find the combination of 15 choose 3:

C(15,3) = 15! / (3! * 12!) = (15*14*13)/(3*2) = 455

We can make 455 different 3-topping sundaes.

given hc ∥ gd.¯¯¯¯¯¯which statement is true

step-by-step explanation:

∠cbe and ∠deb are same-side interior angles

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,