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:
y=x+5
Step-by-step explanation:
D, while numbers is the answer
The sum of the angles x and y are 127 degrees.
X + Y = 127
The measure of x is 34 more than half the y.
X = (y/2) + 34
X = (y + 68) / 2
X = 127 - Y
(Y + 68)/2 = 127-Y
254-2Y = Y+68
186 = 3Y
Y = 62
X = 127-62 = 65
The measure of two angles are 62 and 65
