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6 questions
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.
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.
Using the fundamental counting principle, how many different possible codes are there to lock my iPhone if I use 4 digits, each digit has to be a number from 0-9, and I cannot use the same number twice? (For instance, I could use codes like 1234)
5,040, because 10 x 9 x 8 x 7 = 5,040
1234, because that's the number in the problem
10,000 because 10 x 10 x 10 x 10 = 10,000
40, because 10 + 10 + 10 + 10 = 40
Interpret 4!
4×4×4×4
4+4+4+4
4×3×2×1
4+3+2+1
Evaluate 4!
12
8
1
24
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