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
melamori03 [73]
3 years ago
9

3 letters without replacement 4 letters A B C D how many ways can this be done if the order of the choices matters

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
8 0

Answer:

Since the order of choice matters, we will permute the values.                       a bit more explanation for this:

If the order of choice did NOT matter, ABC and BCA will be counted as one since order of choice does NOT matter

Since order of choice does matter, ABC , BCA and CAB are all different possibilities for the arrangement of the same 3 letters

Since we have 3 slots:

___  ___ ___

Now, for the first slot. You can out either one if the 4 alphabets in the first slot since no slot has been used as of now

So:

_<u>4</u>_ ___ ___

**Keep in mind that the 4 is the possible number of values this slot can have**

Now that one slot has been used, one of the 4 alphabets has been used and since we are not allowed to repeat the same alphabets, we are left with  3 more alphabets

we can put any one of the 3 alphabets in this second slot, Hence:

_<u>4</u>_ <u>_3_</u> ___

Now that 2 of the 4 alphabets have been used, we are left with only 2 alphabets, so there are only 2 possible alphabets for slot 3

Therefore:

_<u>4</u>_ _<u>3</u>_ _<u>2</u>_

Now that we know the possible alphabets for all 3 slots, we will multiply them with each other to get the total possible number of 3 - alphabet words we can make with 4 alphabets

Total possible words = 4 * 3 * 2

Total possible words = 24

We could've used the formula for Permutation as well

You might be interested in
A van got stalled in front of your house. The driver asked barangay officials to help him push the van to get moving. They used
aleksley [76]

It should be noted that the power that the volunteers use to pushe the van is 200 watts.

<h3>How to calculate the power?</h3>

From the information, they used a total force of 1,200 newtons and ater pushing the Van for 15 minutes, they were able to move the van 150 meters away from your house.

It should be noted that power is calculated as:

Power = Force × Displacement / Time

Force = 1200 Newton

Displacement = 150 meters

Time = 15 minutes = 15 × 60 = 900 seconds.

Therefore, the power that the volunteers use to pushe the van is:

Power = Force × Displacement / Time

=(1200 × 150) / 900

= 200 Watt.

Therefore, it should be noted that the power that the volunteers use to pushe the van is 200 watts.

Learn more about power on:

brainly.com/question/1634438

#SPJ1

6 0
1 year ago
the perimeter of a rectangle is 36 centimeters. its length is 11 centimeters. what is the rectangle's width?
Nadusha1986 [10]

Answer:

The width is 7 centimeters

Step-by-step explanation:

36 - (2 × 11)

36-22 =  14

14 ÷ 2 = 7

5 0
3 years ago
Read 2 more answers
PLEASE HELP !!!!!!!Find<br><br> y, such that ABC ~A<br> DEF.
Lemur [1.5K]

Use proportionals to find y.

\frac{9}{18}  =  \frac{6}{y}

Answer:y=12

7 0
3 years ago
15 pts Please help?!
ra1l [238]

Answer:its B or A

Step-by-step explanation:i guess so

  • plz mark me as brillienrt or atleast say thanks.

5 0
3 years ago
Which of the following is the conjugate of a complex number with 2 as the real part and −8 as the imaginary part?
vampirchik [111]
The complex number is given as: 2-8i

So for conjugate, you just flip the sign of the imaginary part:

2+8i will be the answer
3 0
3 years ago
Read 2 more answers
Other questions:
  • On the way to school, if the ratio of walkers to bus riders is 2:7, then the number of bus riders is ________ times the number o
    7·2 answers
  • -42.8451<br> Round the result to the nearest tenth and then to the nearest hundredth
    14·1 answer
  • PLEASE HELP ME!!!!!
    11·2 answers
  • 994 multiplied by 239
    14·2 answers
  • Ryan must read 150 pages for school tomorrow.
    12·1 answer
  • The value of 34 + 5.5 = . (1 point) 교​
    11·1 answer
  • 6(x+4)+1 simplified
    12·2 answers
  • gina sees a rectangular quilt with an area of 3,528 square inches.The length of the quilt is 72 inches. what is the width of the
    12·2 answers
  • Simplify 2/5 (5w + 10 )
    14·2 answers
  • Set up equation and solve for x! <br><br> 25x = 24X+4
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!