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nalin [4]
1 year ago
12

Automobile license plates for a state consist of four letters followed by a dash and two single digits. How many different licen

se plate combinations are possible if exactly one letter is repeated exactly once, but digits cannot be repeated
Mathematics
1 answer:
Sauron [17]1 year ago
4 0

The number of different license plate combinations that are possible if exactly one letter is repeated exactly once, but digits cannot be repeated is 8,424,000.

<h3>What is combination?</h3>

A combination is just a mathematical technique for determining the number of potential arrangements in a set of objects where the order of a selection is irrelevant.

You can choose the components in any order in combinations. Permutations and combinations are often mistaken.

Now according to the question,

Possible letter combinations

Choose any letter and make it a repeat letter = 26 ways

But, there are ⁴C₂ = 6 spots available for the identical letters.

And there are (25)×(24) other methods for selecting the other two letters.

The total amount of "words" equals ⁴C₂ × 26 × 25 × 24 = 93600.

Furthermore, because the numerals cannot be repeated = 10 × 9 = 90

So, the total number of choices = 93600 × 90 = 8,424,000

Therefore, the total combinations in which the letters can be chosen for the license plates is  8,424,000.

To know more about the combination, here

brainly.com/question/11732255

#SPJ4

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tekilochka [14]
1 centimeter = 10 milimeters.
Therefore, 8.5 centimeters squared = 85 millimeters squared.
6 0
3 years ago
Is this a right triangle yes or no ?​
slega [8]

Answer:

I don't think so, regular triangle sizes are 3, 4,5. If I am wrong please tell me.

Step-by-step explanation:

3 0
2 years ago
Rearrange the equation so u is the independent variable.<br><br> 4u+8w=-3u+2w4u+8w=−3u+2w
stiv31 [10]

Answer:

Step-by-step explanation:

4u + 8v = -3u + 2v

Solving 4u + 8v = -3u + 2v

Solving for variable 'u'.

Move all terms containing u to the left, all other terms to the right.

Add '3u' to each side of the equation. 4u + 3u + 8v = -3u + 3u + 2v

Combine like terms: 4u + 3u = 7u 7u + 8v = -3u + 3u + 2v

Combine like terms: -3u + 3u = 0 7u + 8v = 0 + 2v 7u + 8v = 2v

Add '-8v' to each side of the equation. 7u + 8v + -8v = 2v + -8v

Combine like terms: 8v + -8v = 0 7u + 0 = 2v + -8v 7u = 2v + -8v

Combine like terms: 2v + -8v = -6v 7u = -6v

Divide each side by '7'. u = -0.8571428571v

Simplifying u = -0.8571428571v

7 0
2 years ago
Use a system of equations to solve this problem.Bronze is a mix, or alloy, of tin and copper. A metal worker needs 100 g of bron
d1i1m1o1n [39]

Answer:

x = 50 grs

y = 50 grs

Step-by-step explanation:

" x "   is quantity of bronze of 5% tin

" y "   is quantity of bronze of 45% tin

The worker needs 100 grs of bronze and this bronze must be 25% tin

The mathematical expression for the 100 grs condition is:

x + y = 100

And the The mathematical expression for the % condition is:

0,05*x  + 0.45*y  = 0,25 * ( x + y )

The system is:

x + y = 100

0,05*x + 0,45*y = 0,25* ( x + y )

Solving this system we get values of x and y

y = 100 - x

0,05*x  + 0,45* ( 100 - x ) = 0,25 * ( x + 100 - x )

0,05*x  + 45 - 0,45*x = 0,25*( 100 )

0,05*x  + 45 - 0,45*x  = 25

- 0,4*x  = -45 + 25

x = 20/0,4            x = 50  grs

and y = 50 grs

8 0
3 years ago
PLSSS HELP IF YOU TURLY KNOW THISS
padilas [110]

Answer:

the answer is 5.31E37

Step-by-step explanation:

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