Answer:
1) His total commission is $1,234.3
2) The purchase of the car is $24,790.
Step-by-step explanation:
1) 21640*0.02= 432.8+ 250= 682.8
15075*0.02= 301.5+ 250= 551.5
682.8+ 551.5= 1,234.3
2) 745.8- 250= 495.8/ 0.02= 24,790
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)!)
If the three integers are
, then we have

We can combine the fractions on the left side:

