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)!)
I’m just going off of what I was told in fifth grade, and we were told it was finger nails. Hope this helps!
Answer:
The 42 inches long fishing rod will fit in the box.
Step-by-step explanation:
The diagonal of a cuboidal box is the largest measurement inside the box.
Now, the dimensions of the box are 10 inches by 10 inches by 40 inches.
Therefore, the diagonal length of the box is
inches which is greater than 42 inches.
Hence, the 42 inches long fishing rod will fit in the box. (Answer)
<u>Answer:</u>
x = 4 (extraneous solution)
<u>Step-by-step explanation:</u>

This solution is extraneous. Reason being that even if it can be solved algebraically, it is still not a valid solution because if we substitute back
, we will get two fractions with zero denominator which would be undefined.