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
taurus [48]
3 years ago
8

Customer account "numbers" for a certain company consist of 3 letters followed by 2 numbers.Step 1 of 2 : How many different acc

ount numbers are possible if repetitions of letters and digits are allowed?
Mathematics
1 answer:
balu736 [363]3 years ago
5 0

Answer with explanation:

Number of Distinct Letters in English Alphabet = 26 Capital +26 Small

                                                 =52 Alphabets

Total Number of Distinct digits in number system = {0,1,2,3,4,5,6,7,8,9}=10

Account Number of Customers for a certain Company =3 Letters +2 Numbers

Out of 52 Alphabets , 3 Letters can be Chosen in

    =_{3}^{52}\textrm{P} ways, since Order of arranging of three alphabets is Important.

Similarly, out of 10 Digits , 2 numbers can be chosen in

      =_{2}^{10}\textrm{P} ways, since Order of arranging of three alphabets is Important.

Total Number of Possible Account number

         =_{3}^{52}\textrm{P} \times _{2}^{10}\textrm{P}\\\\=\frac{52!}{(52-3)!}\times \frac{10!}{(10-2)!}\\\\=\frac{52!}{(49)!}\times \frac{10!}{(8)!}\\\\=52\times 51 \times 50 \times 9 \times 10\\\\=11934000

You might be interested in
ben has 3 times as many guppies as goldfish. if he has a total of 20 fish, how many guppies does he have?
My name is Ann [436]
It will be 60 puppies.
6 0
3 years ago
Read 2 more answers
The sum of 27 and a number n
Jobisdone [24]

Answer:

Its X And The Sum Of N Is Going To Be 27

4 0
3 years ago
Which function has a graph with a vertical
raketka [301]

Answer:

f(x)=\frac{1}{x-7}-3, see the graph attached for a visual reference.

Step-by-step explanation:

Vertical asymptotes are only present in rational functions where the parent function f(x)=\frac{1}{x} has a vertical asymptote at the line x=0 and a horizontal asymptote at the line y=0. Because the vertical asymptote has to be x=7, the denominator must be x-7 in order for the denominator to equal 0. For the horizontal asymptote to be y=-3, then 3 must be subtracted from the rational function. Therefore, the function that has these asymptotes is f(x)=\frac{1}{x-7}-3.

6 0
3 years ago
Read 2 more answers
Can someone tell me what x= to and y=?
jeka57 [31]

Answer:

x = 112

y = 76

Step-by-step explanation:

x + 68 = 180

x = 180 - 68

x = 112

y = 76 (Because of alternate interior angles)

3 0
3 years ago
If 5 pounds of grass seed cover 455 square feet how many pounds are needed for 5005 square feet
jekas [21]
55 pounds are needed.
7 0
3 years ago
Other questions:
  • The sum of two polynomials is –yz2 – 3z2 – 4y + 4. If one of the polynomials is y – 4yz2 – 3, what is the other polynomial? –2yz
    11·2 answers
  • Show how the following sequences is an arithmetic or not <br>please help me ​
    6·1 answer
  • An oblique cylinder is shown
    12·2 answers
  • What is the solution of the system of equations?
    8·2 answers
  • What is the solution to the equation below ?
    15·1 answer
  • When The Product of 15 and 40 is divided by the sum of 15 and 45 what is the quotient?
    7·1 answer
  • Chords AC and DB intersect at point E. Find the value of x.
    8·1 answer
  • What is C/a + 4 when a=2, and c= 10
    13·2 answers
  • Find the slope and y-intercept for the equation that passes through
    15·1 answer
  • Please help pleaseeee I really need answers only
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!