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
Aleonysh [2.5K]
3 years ago
12

A special type of password consists of 3 different letters of the alphabet, and the two different numbers, where each letter and

each number is used only once. How many different possible passwords are there?
Mathematics
1 answer:
Phoenix [80]3 years ago
7 0

Answer:

There can be 14,040,000 different passwords

Step-by-step explanation:

Number of permutations to order 3 letters and 2 numbers (total 5)

(AAANN, AANNA,AANAN,...)

= 5! / (3! 2!)

= 120 / (6*2)

= 10

For each permutation, the three distinct (English) letters can be arranged in

26!/(26-3)! = 26!/23! = 26*25*24 = 15600 ways

For each permutation, the two distinct digits can be arranged in

10!/(10-2)! = 10!/8! = 10*9 = 90 ways.

So the total number of distinct passwords is the product of all three permutations,

N = 10 * 15600 * 90 = 14,040,000

You might be interested in
What is the length of the missing leg?
Dmitry [639]

Answer: b = 8

Step-by-step explanation:

Use the Pythagorean theorem

A square + B square = C square

C square - A square = B square

C square - B square = A square

10 - 6 = b --Square it

100 - 36 = 64 (square root)

64 = 8

b = 8 miles

7 0
3 years ago
Mary eats 5 bananas and an additional 2 bananas when she works out for 2 hours. Represent the number of bananas that she eats wh
ElenaW [278]
For this item, we let x be the number of hours she works out and y be the total number of bananas that she will be eating after the workout. The expression that best described the given above is,
                             y = 5 + 2x
5 is given as the y-intercept because of the initial condition. 
8 0
3 years ago
Please help!!!!! This is due in a few hours...
Hunter-Best [27]
Peter's meal costed $8.11 in total. Hope this helps :D
7 0
3 years ago
Find the next two numbers in the pattern. 9,-27,81,-243....
slava [35]

The answer is 729, -2187

because you multiply each number by -3



6 0
2 years ago
What is the greatest common factor of 21 and 65
love history [14]

Answer:

1

Step-by-step explanation:

21 = 3*7

65 = 5*13

CGF: to find the greatest common factor, multiply those factors both numbers have in common

GCF :1  since there are no factors in common

7 0
3 years ago
Read 2 more answers
Other questions:
  • If each commercial lasts 1/2 minute how many commercials are there in a 4-hour program?
    14·1 answer
  • Work out the surface area of a sphere please help if u get it correct i’ll give h brainlest
    5·1 answer
  • What is the value of v?<br> 1 / 4 (v – 7) = 2
    10·1 answer
  • Joy ate 1/4 of a pizza. If she divides the rest of the pizza into pieces equal to 1/8 pizza for her family, how many pieces will
    11·1 answer
  • If 3 apps cost 12$ how how much would 5 cost
    12·1 answer
  • If MO bisects angle PMN, the measure of angle PMN equal 74 and the measure of angle OMN equals 2x + 7, find the value of x
    7·1 answer
  • Answer it fast please​
    9·1 answer
  • Michael deposited $1,500 into a savings account with a simple interest rate of 2%. How much money will he have in his account af
    14·1 answer
  • Can you help me please
    15·1 answer
  • Help please this is stressing me out.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!