The system of standard automotive license plates allows for a variety of standard plates is 39917124 ways.
<h3>Define the term permutation?</h3>
- The number of potential arrangements for a given set is assessed mathematical terms, but this procedure is referred to as permutation.
- The arrangement's order is essential when using permutations.
For the stated data;
Standard car license plates in a nation typically have 3 digits, 2 letters, and 2 numbers.
There are total 9 digits (0 - 9).
There are total 26 letter (A - Z)
Repetitions of letters and numbers given allowed.
Thus, numbers and the letters ca be arranged as;
1st place = 9 ways.
2nd place = 9 ways.
3nd place = 9 ways.
4th place = 26 ways.
6th place = 26 ways.
7th place = 9 ways.
8th place = 9 ways.
Total ways = 9×9×9×26×26×9×9
Total ways = 39917124
Thus, the system of standard automotive license plates allows for a variety of standard plates is 39917124 ways.
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90,000*0.12 =1,080
1,080*7=7,560
90,000+7,560=97,560
Answer: 31, 932.74
Step-by-step explanation:
The population of the small town = 39,668
Yearly rate of decline = 1.5%
Therefore, to calculate 1.5% of 39,668 = 1.5 x 39,668
------------------
100
= 595.02
So, the population is declining by 595.02 on yearly basis.
To ascertain what will the population would have declined to in the next 13 years,
We multiply , = 595.02 x 13
=7,735.26
Now population in 13 years = 39,668 - 7,735.26
= 31,932.74
0=40-10t-5t^2
t^2+2t-8=0
(t+4)(t-2)=0
t=-4 (not a solution) or t=2
Answer: after 2 seconds
