1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vichka [17]
3 years ago
5

A liscense plate consists of 2 letters followed by 4 digits. If the two letters must be different and the first digit cannot be

0, how many liscense plates are possible?
Mathematics
2 answers:
Ann [662]3 years ago
7 0

Answer:

S = 5,850,000 possible plates

Step-by-step explanation:

There are 26 letters in the abcedary and 10 possible digits

Then we know that the first 2 letters must be different and that the first digit must not be zero.

So we know that for the first letter there are 26 possibilities

For the second letter there are 25 possibilities, because it should not be equal to the first

For the first digit there are 9 possibilities (because it must be non-zero)

For the 3 following digits there are 10 possibilities for each one.

Then the sample space is composed of the product of the possible values for each term of the plate.

S = 26 * 25 * 9 * 10 * 10 * 10

S = 5,850,000 possible plates

Lubov Fominskaja [6]3 years ago
5 0

Answer:

2,948,400

Step-by-step explanation:

<u>For the first letter</u>, there are possibility of putting 26 different letter from the alphabet.

<u>For the second letter,</u> there are possibility of putting 25 different letters from the alphabet (since repetition is not allowed from first digit)

Now,

<u>For first digit</u>, there is possibility of 9 digits, since 0 is NOT ALLOWED.

<u>For second digit,</u> there is possibility of 9 digits, since 0 IS ALLOWED BUT repetition of first digit is not allowed.

<u>For third digit,</u> there is possibility of 8 digits, since 2 are taken in first 2 slots and repetition is not allowed.

<u>For fourth digit,</u> there is possibility of 7 digits, since 3 are taken in first 3 slots and repetition is not allowed.

<em><u>Now we multiply all the possibilities to get the number of license plates possible.</u></em>

26 * 25 * 9 * 9 * 8 * 7 = 2,948,400

You might be interested in
Which of the following numbers are irrational? Check screenshot.
Law Incorporation [45]

Answer:

d

Step-by-step explanation:

i think it's d because it's negative

7 0
3 years ago
Read 2 more answers
A box of 3 picture hangers sells for $2.22. What is the unit rate
Anestetic [448]

Answer:

0.74 cents each unit piece

Step-by-step explanation:

2.22 ÷ 3 = 0.74

7 0
3 years ago
A rectangle is drawn so that the width is 5 feet shorter than the length. the area of the rectangle is 36 square feet. find the
velikii [3]
 w x L  = 36 

w =  L- 5 

L x  ( L-5 ) = 36 

L^2 -5L -36 =0 

<span>Use the quadratic formula

L=  - b + radical b^2  - 4 (a)(c)  divided    2.a 

L= 5 + 13  / 2  = 18 /2  =9</span>
5 0
3 years ago
I have a piece of material 17 ft i only need 5/8 of it how much is that
lukranit [14]
5/8 of 17 is 10.625!
3 0
3 years ago
Read 2 more answers
3/4x4/7 will be A less than B equal to C greater than 3/4​
Troyanec [42]

Answer:

less than, this is scaling dude

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • What is the value of 9 - [42 - (3 + 2)].
    5·1 answer
  • Shoe store A is having a sale in which every pair of shoes is 40% off the regular price.
    14·2 answers
  • Last year, Bill opened an investment account with $6800 . At the end of the year, the amount in the account had increased by 24.
    5·1 answer
  • How do you round 1,995,298 to the nearest 10,000
    6·1 answer
  • Solve for c: 6/15=2/c
    10·1 answer
  • Maria bought a bag of marbles. There were twice as many purple ones as red ones. There were 93 marbles in all. How many of each
    7·2 answers
  • Write an algebraic equation for each word phrase and solve each question.
    14·1 answer
  • My goal rides his skateboard from 3:15 p.m. to 4:25 p.m. how long does Michael ride his skateboard
    15·2 answers
  • Area 15 cm 12 cm 19 cm triangle
    11·1 answer
  • Find r if 0=pi/6 rad sector 64m^2
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!