<u>ANSWER:</u>
If
and
then the difference of a and b is 6
<u>SOLUTION:</u>
Given,
→
----- (1)
And
→
--- (2)
We have to find difference of a and b.
Now, add (1) and (2)


Adding above two equations, we get,


substitute
value in (2)

Now, difference of a and b is a – b = 
Hence, the difference of a and b is 6.
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.
___
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.
__
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.
_____
nCk = n!/(k!(n-k)!)
Answer:
70
Step-by-step explanation: