Answer:
455 or 680, depending
Step-by-step explanation:
If we assume the three choices are different, then there are ...
15C3 = 15·14·13/(3·2·1) = 35·13 = 455
ways to make the pizza.
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If two or three of the topping choices can be the same, then there are an additional ...
2(15C2) +15C1 = 2·105 +15 = 225
ways to make the pizza, for a total of ...
455 + 225 = 680
different types of pizza.
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There is a factor of 2 attached to the number of choices of 2 toppings, because you can have double anchovies and tomato, or double tomato and anchovies, for example, when your choice of two toppings is anchovies and tomato.
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nCk = n!/(k!(n-k)!)
Answer:
7786
Step-by-step explanation:
8753-967
=7786
The answer is 6.524. Hope this helps! :D
The answer to your inequality is
To solve this system of linear equations we need a little trick called elimination steps are below
we are given the following system of equations


if you look at the x variables in both equations you can see that we can easily eliminate them by multiplying the bottom equation by -4 as so


simplify and we get


now we can combine like terms on each side with the x's cancelling and get

now divide off -35

great now we can go back to our original system and pick a equation and substitute y back in to find x lets use

so now we substitute y and get




now we put x and y into one coordinate (x,y)
so now our FINAL ANSWER IS
(-17,-1)