Two mechanics work on a car . The first mechanic worked 10 hours and the second mechanic worked for 15 hours. Together they char
2 answers:
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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 quotient is
Step-by-step explanation:
We first use the remainder theorem to determine whether is divisible by
:
the remainder is zero which means is divisible by
.
Now, we could do polynomial long division to find the quotient, but in this case, it turns out that guessing is easier.
is factored as
which means
which means the quotient is