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Artyom0805 [142]
2 years ago
12

a certain state the license plate has two digits, then two letters, and then two digits. How many different license plates are p

ossible if letters and digits cannot be repeated?
Mathematics
2 answers:
xxTIMURxx [149]2 years ago
7 0

Step-by-step explanation:

Choosing 4 digits out of 10 = 10C4 = 210.

Arranging the 4 digits in 4 places = 4!

Total number of ways to arrange digits

= 210 * 4! = 5040.

Choosing 2 letters out of 26 = 26C2 = 325

Arranging the 2 letters in 2 places = 2!

Total number of ways to arrange letters

= 325 * 2! = 650.

Total number of possible license plates

= 5040 * 650 = 3,276,000.

Evgesh-ka [11]2 years ago
3 0

Answer:

3,276,000

Step-by-step explanation:

10 x 9 x 26 x 25 x 8 x 7 = 3,276,000

the numbers 10, 9, 8, 7 are the spaces available for a non-duplicated digit

the numbers 26 and 25 are for two non-duplicated letters

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Given the function f(x) =
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Answer:

The value of f(1) is smaller than the value of f(3)

Step-by-step explanation:

<u><em>The correct question is</em></u>

Given the function f(x) = 2x^2 + 3x + 10, find f(1) and f(3). Choose the statement that is true concerning these two values.

The value of f(1) is the same as the value of f(3).

The value of f(1) cannot be compared to the value of f(3).

The value of f(1) is larger than the value of f(3).

The value of f(1) is smaller than the value of f(3)

we have

f(x)=2x^{2}+3x+10

step 1

Find out the value of f(1)

substitute the value of x=1 in the function f(x)

so

For x=1

f(1)=2(1)^{2}+3(1)+10

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step 2

Find out the value of f(3)

substitute the value of x=3 in the function f(x)

so

For x=3

f(3)=2(3)^{2}+3(3)+10

f(3)=37

step 3

Compare the values

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so

f(3) > f(1)

or

f(1) < f(3)

therefore

The value of f(1) is smaller than the value of f(3)

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