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50 questions
A seven-question quiz has 4 true/false questions followed by 3 multiple choice questions. For each multiple choice question there are four possible answers. In how many different ways is it possible to answer the seven questions?
12
80
28
1024
Harpo, Groucho, Chico, Zeppo, Gummo and Karl are running in a race. How many different orders of finish are possible?
36
64
720
46656
A restaurant serves 5 main dishes, 3 salads, and 4 desserts. How many different meals could be ordered if each has a main dish, a salad, and a dessert?
5 x 3 x 4 = 60
5 + 3 + 4 = 12
The letters A, B, C, and D are used to form four-letter passwords for entering a computer file. How many passwords are possible if letters can be repeated?
4 x 4 x 4 x 4 = 256
4 x 3 x 2 x 1 = 24
4 + 4 + 4 + 4 = 16
4 + 3 + 2 + 1 = 10
The Palace of Pizza offers small, medium, or large pizzas with 14 different toppings available. How many different 1-topping pizzas do they serve?
3 x 14 = 42
3 + 14 = 17
14 x 14 x 14 = 2744
14 x 13 x 12 = 2184
How many license plates consisting of three letters followed by three numbers are possible when no repetition is allowed?
26 x 25 x 24 x 10 x 9 x 8 = 11232000
26 x 26 x 26 x 10 x 10 x 10 = 17576000
26 x 25 x 24 x 9 x 8 x 7 = 7862400
26 x 26 x 26 x 9 x 9 x 9 = 12812904
How many license plate numbers consisting of three letters followed by three numbers are possible when repetition is allowed?
26 x 26 x 26 x 10 x 10 x 10 = 17576000
26 x 25 x 24 x 10 x 9 x 8 = 11232000
26 x 26 x 26 x 9 x 9 x 9 = 12812904
26 x 25 x 24 x 9 x 8 x 7 = 7862400
Which tree diagram has the most possible outcomes?
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