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- 1. Multiple Choice
Suppose you roll a 6 -sided die and draw a card from a deck of 52 cards. How many possible outcomes are there?
58
213
312
85
- 2. Multiple Choice
Your school offers two English classes, three math classes and three history classes. You want to take one of each class. How many different ways are there to organize your schedule?
8
18
24
36
- 3. Multiple Choice
A wedding caterer gives you three choices for the main course, six starter choices and five options for dessert. How many different meals (made up of starter, dinner and dessert) are there?
13
30
90
18
- 4. Multiple Choice
How many possible 4-letter words with or without meaning can be formed from the letters E to X if H, J and R are excluded?
50 120
52 710
51 720
57 120
- 5. Multiple Choice
In how many ways can Layla, Miya, Angela, Nana, Esmeralda and Carmilla be chosen as a date for Bruno, Roger, Claude and Harley?
24
48
120
360
- 6. Multiple Choice
There are 20 heroes on my account. If I will play classic matches and a hero can be used more than once, how many possible choices can I make?
3 200 000
320 000
32 000
3 200
- 7. Multiple Choice
How many ways can Ejay arrange seven trophies in his cabinet?
4 050
5 400
4 500
5 040
- 8. Multiple Choice
64 contestants are in the Miss Universe Pageant. How many ways can the top 5 be selected?
914 914 440
914 941 400
914 941 440
914 914 400
- 9. Multiple Choice
A four digit code is needed for a security of a phone. If zero is not to be included, and no number can be repeated, how many possible codes are possible?
3 024
3 204
3 420
3 042
- 10. Multiple Choice
What fundamental operation on numbers is applied in solving problems on fundamental counting principles?
Addition
Subtraction
Multiplication
Division
- 11. Multiple Choice
The fundamental counting principle
Tells you the probability of an event.
Tells you how many different possible outcomes there are.
Helps you convert a fraction into a percent.
Shows you the outcomes that don't appear in a tree diagram.
- 12. Multiple Choice
If I use the fundamental counting principle, how many different outcomes are there if I flip 4 different 2-sided coins?
8, because 4 x 2 = 8
6, because 4 + 2 = 6
16, because 2 x 2 x 2 x 2 = 16
256, because 4 x 4 x 4 x 4 = 256
- 13. Multiple Choice
Using the fundamental counting principle, how many different outcomes could you have if you rolled 4 different six-sided dice?
1,296, because 6 x 6 x 6 x 6 = 1,296
24, because 6 x 4 = 24
36, because it 6 x 6 = 36
360, because 6 x 5 x 4 x 3 = 360
- 14. Multiple Choice
Use the fundamental counting principle to find the total number of outcomes (or outfits) if you have a suitcase with 5 different shirts, 3 types of jackets, 2 different pants, and 3 types of shoes.
13, because 5 + 3 + 2 + 3 = 13
120, because 5 x 4 x 3 x 2 =120
90, because 5 x 3 x 2 x 3 = 90
52, because (5 + 3 + 2 + 3) x 4 = 52
- 15. Multiple Choice
Use the fundamental counting principle to find the total number of possible outcomes for my smartphone lock screen if I have to use 4 different numbers from 0-9, and I can reuse numbers. (For instance, I could use "1111")
6,561, because 9 x 9 x 9 x 9 = 6,561
5,040, because 10 x 9 x 8 x 7 = 5,040
10,000, because 10 x 10 x 10 x 10 = 10,000
1111, because that's the number in the problem.
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