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s344n2d4d5 [400]
3 years ago
13

A license plate is to consist of 5 digits followed by 5 uppercase letters. Determine the number of different license plates poss

ible if the first and second digits must be​ odd, and repetition is not permitted.
Mathematics
1 answer:
EastWind [94]3 years ago
7 0

Answer:

5.3044992\times 10^{10}

Step-by-step explanation:

We are given that a license plate consist of 5 digits and 5 uppercase letters

Digits used=0,1,2,..9

Total number of letters=26

Repetition is not allowed

Total number of odd digits=(1,3,5,7,9)=5

The first place filled by 5

Second place filled by 4

Third place filled by 8

Fourth place filled by 7

Fifth place filled by 6

Sixth place filled by 26

Seventh place filled by 25

Eighth place filled by 24

Ninth place filled by 23

Tenth place filled by 22

Total number of possible  different license plates =5\times 4\times 8\times 7\times 6\times 26\times 25\times 24\times 23\times 22=5.3044992\times 10^{10}

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Considering the given function, we have that:

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b) D(t) = 2490 when t = 14, which means that the family is 2490 miles from home after 14 hours of driving.

<h3>What is the function in this problem?</h3>

The distance that the family is from home, after t hours of driving, is given by:

D(t) = 3260 - 55t.

Then, after 12 hours, the distance is given by D(12), that is:

D(12) = 3260 - 55 x 12 = 2600.

D(12) = 2600, which means that after 12 hours of driving, the family is 2600 miles from home.

D(t)=2490, hence:

3260 - 55t = 2490

55t = 770

t = 770/55

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More can be learned about functions at brainly.com/question/25537936

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2 years ago
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Step-by-step explanation:

Start with what the question is asking for, which is the ratio of math problems to minutes.

With ratios "to" also means ":", so you can change it to math problems : minutes.

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