Using the Fundamental Counting Theorem, it is found that there are 10 positive three-digit integers have the hundreds digit equal to 7 and the units (ones) digit equal to 1.
<h3>What is the Fundamental Counting Theorem?</h3>
It is a theorem that 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:
![N = n_1 \times n_2 \times \cdots \times n_n](https://tex.z-dn.net/?f=N%20%3D%20n_1%20%5Ctimes%20n_2%20%5Ctimes%20%5Ccdots%20%5Ctimes%20n_n)
The number of options for each selection are given as follows, considering there are 10 possible digits, and that the last two are fixed at 7 and 1, respectively:
![n_1 = 10, n_2 = n_3 = 1](https://tex.z-dn.net/?f=n_1%20%3D%2010%2C%20n_2%20%3D%20n_3%20%3D%201)
Hence, the number of integers is given by:
N = 10 x 1 x 1 = 10.
More can be learned about the Fundamental Counting Theorem at brainly.com/question/24314866
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Answer:I believe 786.34
Step-by-step explanation:
You divide 180 by 73.25 which is 2.46, then multiply this number by your 320 minutes to get the answer
Answer:
96.74
Step-by-step explanation:
Answer:
1) 18ft²
2) 28ft
3) 85 people
Step-by-step explanation:
1) 6 x 8
2) 16 + 12
3) 168 + 347 = 515
600 - 515 = 85