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
Nimfa-mama [501]
3 years ago
10

An identification code is to consist of 2 letters followed by 3 digits. how many different codes are possible if repetition is n

ot permitted
Mathematics
2 answers:
Lena [83]3 years ago
6 0
(26^2)*(10^3)
676*1000
676,000 possibilities
Artemon [7]3 years ago
3 0

Answer:

11232000

Step-by-step explanation:

Given that an identification code is to consist of 2 letters followed by 3 digits.

Also given that repetition is not permitted.

Since order matters here we find that permutation to be used.

Out of 26 letters, 2 letters can be selected without repitition in 26P2 ways

And 3 codes can be selected from 10 digits in 10P3 ways

Hence total number of codes = 10P3(26P2)\\\\=10(9)(8) (26)(25)(24)\\=720(100)(156)\\=11232000

No of ways = 11232000

You might be interested in
Can someone help me please
soldier1979 [14.2K]

Step-by-step explanation:

c >= 2

that means any value of c greater or equal to 2 is a valid solution. so, yes, 2 is a solution for this.

c < 2

that means any value of c smaller than 2 is a valid solution. so, no, 2 is not smaller than 2, so it is not a solution.

c < 3

that means any value of c smaller than 3 is a valid solution. so, yes, 2 is smaller than 3, so 2 is a solution.

3 < c

that means any value of c, for that 3 is smaller, is a valid solution. our in other words, any value for c larger than 3 is a valid solution. so, no, 2 is not larger than 3, so it is not a solution.

-8 < c

that means any value of c, for that -8 is smaller, is a valid solution. our in other words, any value for c larger than -8 is a valid solution. so, yes, 2 is larger than -8, so it is a solution.

5 0
2 years ago
Susan threw a softball 42 years on her first try and 51 1/3 yard on her second try. How much farther did she throw the softball
Andru [333]

Answer:

28 feet farther than 1st ball.

Step-by-step explanation:

We have been given that Susan threw a softball 42 yards on her first try and 51\frac{1}{3} yard on her second try.

To find second ball is how much farther from the 1st ball, we will subtract 42 yards from 51\frac{1}{3} yards.

\text{The second ball is farther from 1st ball}=51\frac{1}{3}\text{ yards}-42\text{ yards}

\text{The second ball is farther from 1st ball}=\frac{154}{3}\text{ yards}-42\text{ yards}

Let us have a common denominator.

\text{The second ball is farther from 1st ball}=\frac{154}{3}\text{ yards}-\frac{42*3}{3}\text{ yards}  

\text{The second ball is farther from 1st ball}=\frac{154}{3}\text{ yards}-\frac{126}{3}\text{ yards}

\text{The second ball is farther from 1st ball}=\frac{154-126}{3}\text{ yards}

\text{The second ball is farther from 1st ball}=\frac{28}{3}\text{ yards}

\text{1 yard}=3\text{ feet}

\frac{28}{3}\text{ yards}=\frac{28}{3}\times 3\text{ feet}

\frac{28}{3}\text{ yards}=28\text{ feet}

Therefore, Susan thrown the second ball 28 feet farther from the 1st ball.

7 0
3 years ago
Heron wants to buy a video game. The price is regularly priced at 55 dollars. The store has a discount of 20% off and a sales ta
seropon [69]

The amount paid by Heron for the video game  is $46.64.

Step-by-step explanation:

Here, the marked price of the video game  = $55

The discount percentage on the video game  = 20%

Calculating 20% of the $55, we get:

\frac{20}{100}  \times 55  = 11

So, the discount offered on the video game  = $11

Selling Price  = Marked Price  - Discount

                        =$55 - $11 = $44

Now,  the tax percentage on the video game  = 6%

Calculating 6% of the $44, we get:

\frac{6}{100}  \times 44  =2.64

So, the tax  on the video game  = $2.64

New Selling Price  = Selling Price  +  Tax

                        =$44 + $2.64  = $46.64

So, the amount paid by Heron for the video game  is $46.64.

3 0
3 years ago
Bourne Incorporated reports a cash balance at the end of the month of $2,520. A comparison of the company's cash records with th
lianna [129]

Answer:

Company balance$2,170

Service fees: $(67)

NSF check: $(170)

Note received: 1,100

Interest earned: 17

Reconciled company balance: $3,050

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
A stack of logs has 22 logs on the bottom layer. Each subsequent layer has 4 fewer logs than the previous layer. If the top laye
Paraphin [41]

Answer:

88

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • Solve for a.<br><br> 36 = 9a
    6·2 answers
  • The sum of the first three terms of geometric sequence is 14. If the first term is 2, find the possible values of the sum of the
    10·2 answers
  • What is the value of r in the equation 4r − 8 = 5r + 12?<br><br> −20<br> −1<br> 1<br> 20
    12·2 answers
  • Find the equation of the line that passes through the points (2,10) and (4,14).
    9·1 answer
  • Solve.<br> -3.5 x 0.2=<br><br> 1. -7.0<br> 2. -0.7<br> 3. 0.7<br> 4. -3.3
    14·1 answer
  • Sam has a rectangular rug with an area of 50 square feet . The rug is 5 feet longer than it is wide.
    8·1 answer
  • Question : find the measure of angles x and y
    13·1 answer
  • For a least squares regression line, the sum of the residuals is __________.
    14·1 answer
  • Determine if the equations represent lines that are parallel, perpendicular, or neither.
    13·1 answer
  • What percent of 4c in each expression? <br> 0.2c
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!