a certain state the license plate has two digits, then two letters, and then two digits. How many different license plates are possible if letters and digits cannot be repeated?

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.

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

1. Name an angle complementary to ∠ BFC:

2. Name an angle complementary to ∠ AFG:

3. Name an angle that is supplementary to ∠ CFD:

4. Name an angle that is supplementary to ∠ GFE:

There are 11.5 ounces of cereal in a container. Additional cereal is poured into the container at a rate of 2.25 ounces per second. How many ounces are in the container after 4 seconds? Enter your answer in the box.

What is the factored form of x2 – x – 2?

(x – 2)(x + 1)
(x + 2)(x + 1)
(x – 2)(x – 1)
(x + 2)(x – 1)

Put the following equation of a line into slop-intercept form, simplifying all fractions.
2y - x = -8

Eric is sewing a border around a rectangular quilt. The quilt measures 5 feet by 7 feet. How much border material should Eric buy?

Find the length of DE using the distance formula.
d = V(x2-xx)2+(12-2012
4
The length of DE is
units.

Explain how to isolate the variable in the equation−2/3+7=15. solve for n

what is the value of p?

Name two lines in the diagram. Four horizontal lines are shown. At the top is line upper M upper A. Next is line upper L upper B. Next is line upper K upper C. At the bottom is line upper J upper D. Two transversals cut through these lines. One passes through points upper M, upper L, upper K, and upper J. The other passes through points upper A, upper B, upper C, and upper D.The transversal on the left crosses the top horizontal line at point Upper M, the horizontal line second from the top at point Upper L, the horizontal line third from the top at point Upper K, and the bottom horizontal line at point Upper J. The transversal on the right crosses the top horizontal line at point Upper A, the horizontal line second from the top at point Upper B, the horizontal line third from the top at point Upper C, and the bottom horizontal line at point Upper D.
A. modifying above upper J upper K with bar, modifying above upper L upper B with bar
B. modifying above upper M upper A with one-way arrow, modifying above upper J upper D with one-way arrow
C. modifying above upper K upper C with two-way arrow, modifying above upper D upper A with two-way arrow
D. modifying above upper M upper J with two-way arrow, modifying above upper E upper F with two-way arrow

I want to know if 1/324 is equal to -324, and why.

2
하
Number one over5+ 2/5 =

need help on b already done a

please help sorry if blurry

Liam is setting up folding chairs for a meeting. If he arranges the chairs in 5 rows of the same length, he
has 11 chairs left over. If he arranges the chairs in 3 rows of that same length, he has 21 left over. How
many chairs does Liam have?
Liam has
chairs.

what is equivalent to 3x-12=24

help this one pplss​

4/6+3
Pls help plsssss
68 points

Mr. Nelson paid $3.84 sales tax. He paid a sales tax rate of 8%. How much was the item he
was buying before sales tax was added?

Write an expression showing 4 less than the number j.

A pet store has 8 dogs, 12 cats, and 3 rabbits. The ratio 8:23 compares

What is this number in standard form?

(8×10)+(2×1100)+(9×11,000)

Enter your answer in the box.

pls help!! it's due in a few minutes :(
Graph {x | x -2}.

What is the measure of x in the diagram below?


1.) 14
2.) 118
3.) 13

Expand and simplify the following
1
2(4x - 3) + 5x + 4

pls help me ❤️ it would be amazing

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Size (oz)

Price ($)

Regular

16

3.36

Family Size

40

7.60


10. Mason’s favorite brand of peanut butter is available in two sizes. Each size and its price are shown in the table.

a. What is the unit rate for each size of peanut butter? Regular: $_________ per ounce Family Size $_____________ per ounce Which is the better buy? ________________

b. Suppose Q is the midpoint of PR. What is the
justification for the statement that PQ = QR?

81% of___ is 405
Pls help

A drawer contains 8 blue socks, 8 black socks, and 4 white socks. Socks are picked at random. Explain why the events picking a blue sock and then another blue sock are dependent. Then find the probability.