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andrew-mc [135]
3 years ago
15

What is the answer to 3/4 = -1/2 - y

Mathematics
1 answer:
Andrews [41]3 years ago
3 0

Answer;

3/4=-1/2-y

Step-by-step explanation:

y=- 5/4

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Using the Fundamental Counting Theorem, it is found that for each case, the total number of outcomes is:

a) 60,466,176.

b) 5,961,600.

<h3>What is the Fundamental Counting Theorem?</h3>

It is a theorem that states that if there are n things, each with n_1, n_2, \cdots, n_n ways to be done, each thing independent of the other, the number of ways they can be done is:

N = n_1 \times n_2 \times \cdots \times n_n

Item a:

No restrictions, hence for each of the five characters, there are 36 outcomes, hence n_1 = \cdots = n_5 = 36.

Then, the possible number of passwords is:

N = 36^5 = 60466176

Item b:

The letters and the digits have to be alternated, hence:

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  • Starting with a digit, n_1 = n_3 = n_5 = 10, n_2 = n_4 = 36.

Then, the possible number of passwords is:

N = 36^3 \times 10^2 + 10^3 \times 36^2 = 5961600

To learn more about the Fundamental Counting Theorem, you can take a look at brainly.com/question/24314866

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