A snack has 150 calories in 3/4 of a serving. How many calories per serving is this?
1 answer:
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Using the fundamental counting theorem, it is found that 17,576,000 different license plates can be manufactured.
Fundamental counting theorem:
States that if there are n things, each with ways to be done, each thing independent of the other, the number of ways they can be done is:
In this problem:
- Since repetition is allowed, for the 3 letters, there are 26 outcomes, hence
.
- For the 3 numbers, there are 10 outcomes, hence
Then:
17,576,000 different license plates can be manufactured.
To learn more about the fundamental counting theorem, you can take a look at brainly.com/question/24314866
Answer: The filled out table is shown below in the attached image
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Explanation:
The letters A through J are one way to fill out the table. Though there are other possible orders.
Start at letter A, which is from the fact we have 40 people total
Then move to letter B. This is the total number who like pasta (26)
We have C = A-B = 40-26 = 14 people who don't like pasta
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Now move to cell D. This is the total who don't like netball, which is 21 people. There are E = A-D = 40-21 = 19 people who do like netball.
F = 4 is the number of people who don't like either thing (netball or pasta). So G = D-F = 21-4 = 17 people like pasta but don't like netball.
Of those people who like netball (E = 19), we have 9 who also like pasta. This is in cell H in the upper left corner. This means J = E-H = 19-9 = 10 people like netball but don't like pasta.
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So we have these values
- A = 40
- B = 26
- C = 14
- D = 21
- E = 19
- F = 4
- G = 17
- H = 9
- J = 10
