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
alexira [117]
3 years ago
8

In how many ways can we rearrange the digits in the number 12321? With formula and not just listing the numbers.

Mathematics
1 answer:
Archy [21]3 years ago
7 0

Answer:

With a 5-digit number, you have 5 choices for the first digit. There will be 4 digits left so you have 4 choices for the second digit. After you have chosen the first 2 digits there will be 3 remaining so you will have 3 choices for the third digit. Hence there are 2 choices for the fourth digit and only 1 choice for the fifth digit. Thus you have made 5 × 4 × 3 × 2 1 = 120 choices and there are 120 possible 5 digit numbers made from 1, 2, 3, 2 and 1

You might be interested in
A metallurgist has one alloy containing 34% copper another containing 48% copper. How many pounds of each alloy must he use to m
Zielflug [23.3K]

Answer:

<h2>36.14 pounds of 34% copper alloy and 9.86 pounds of 48% copper alloy</h2>

Step-by-step explanation:

        First alloy contains 34% copper and the second alloy contains 48% alloy.

We wish to make 46 pounds of a third alloy containing 37% copper.

       Let the weight of first alloy used be x in pounds and the weight of second alloy used be y in pounds.

       Total weight = 46\text{ }pounds=x+y        -(i)

      Total weight of copper = 37\%\text{ of 46 pounds = }34\%\text{ of }x\text{ pounds + }48\%\text{ of }y\text{ pounds }

       \dfrac{37\times 46}{100}=\dfrac{34x}{100}+\dfrac{48y}{100}\\\\ 34x+48y=1702        -(ii)

       Subtracting 34 times first equation from second equation,

34x+48y-34x-34y=1702-34\times46\\14y=138\\y=9.857\text{ }pounds \\x=36.143\text{ }pounds

∴ 36.14 pounds of first alloy and 9.86 pounds of second alloy were used.

5 0
3 years ago
9n+21−3n−24 simplify
Thepotemich [5.8K]
Alright First you combine the like terms. 
9n - 3n = 6n 
21 - 24 = -3 

Rewrite the simplified equation
6n - 3 = 0

Solve for n 
6n = 3 
n = 3/6 
n = 1/2 

Ask if you need more help! :)

6 0
3 years ago
How does the Counting Principle help when determining the sample space for a probability distribution?
andreyandreev [35.5K]

Answer:

This is also known as the Counting rule.

The Fundamental Counting Principle is used in determining all the possible outcomes and the total possible ways different events can be combined with each other. It is usually done by multiplying all the events together to get the total possible outcome. Doing this also helps in determining the sample space of a probability.

For example there are events a, b and c. The total sample space or possible outcome will be a*b*c.

7 0
3 years ago
Two whole numbers have a least common multiple of 60. Each number is lesss than or equal to 12. The greatest common factor of th
blsea [12.9K]

Answer:

10 and 6

Step-by-step explanation:

2 can go into both 6 and 10 and 6 and 10 are multiples of 60

6 0
2 years ago
there was a surplus of office space in a city, with 400,000 square feet, or 16% of the total office space, vacant. How much offi
KiRa [710]
I'd say that the total office space was 2,500,000 sq. ft,

16            400,000
-----  =      -----------
100              x

16x = 40,000,000
    x = 2,500,000
8 0
3 years ago
Other questions:
  • A box is a cuboid with dimensions 28 cm by 15 cm by 20 cm all measured to the nearest centimetre. Dis cases are cuboid which mea
    5·1 answer
  • X = 2y + 4: line equation: please help me
    7·1 answer
  • 7.857 rounded to the nearest hundredth
    5·1 answer
  • A woman making $3000 per month has her salary reduced by 20% because of sluggish sales. One year later, after a dramatic improve
    6·1 answer
  • Find the distance..<br><br> Please help!!!
    15·1 answer
  • Which of the following is a sensory organ?
    15·2 answers
  • Each face of a small cube has a surface area of 0.25 square meters. A larger cube has edges that are six times as long as the ed
    5·2 answers
  • Find the midpoint of the segment with the given endpoints (6,3) and (-7,6)
    11·1 answer
  • Help on this please,
    5·1 answer
  • On a standardized exam, the scores are normally distributed with a mean of 165 and astandard deviation of 40. Find the z-score o
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!