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
Ronch [10]
3 years ago
6

How many ways are there to arrange the letters a, b, c, and d such that a is not followed immediately by b?

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
4 0
First, let's determine how many combinations there are without any restrictions. There are 4 letters, so we have 4 options to choose from for the first letter. For the second letter, there are only 3 options, for the third there are only 2 options, and finally for the last letter there is just 1 option. Therefore, we have:

4! = 4 \times 3 \times 2 \times 1 = 24 options

Now we can subtract the number of combinations in which a is immediately followed by b.

Instead of having 4 options to choose from, we now only have 3:

ab, c, or d

So using the same logic as before, we have:

3! = 3 \times 2 \times 1 = 6 options

Now just subtract the 6 combinations that don't work from the total:

24 - 6 = 18

The answer is 18.


You might be interested in
In the table below, the number of pounds of blueberries is proportional to the number of pounds of strawberries
Scilla [17]

Answer:

b i think

Step-by-step explanation:

because even i didnt see it i still remember my old lessons

#CarryOnLearning

3 0
2 years ago
The sum of two negative integers is a negative integers
Vaselesa [24]

Answer:

when we add two negative numbers the result will always be a negative number, on adding negative numbers the direction of the move will always be to the left side

hope this helps!

3 0
2 years ago
Maddie does not have any pretzels. Zach gives Abbey 88 pretzels. Then he splits half of the pretzels he has left with Maddie. Za
Ann [662]
1212 x 2+ 88 = ?
Hope this helps
3 0
3 years ago
$49.95 CD player; 5% tax
jekas [21]

Answer:

2.4975 round it up to $2.50  equals 52.4475 or $52.45 cents

Step-by-step explanation:

4 0
3 years ago
Plssss help 20 points plssa<br> If K Mis the perpendicular bisector of JL, find x.<br> Plsss
Viefleur [7K]

Answer:

x= 7

Step-by-step explanation:

4x+9 =11x-61

9 = 7x - 61

70 = 7x

x = 7

8 0
2 years ago
Other questions:
  • A model of a car is 6.3 in. long. The scale of the model to that actual car is 1:30. What is the length of the actual car to the
    8·2 answers
  • Bradley bought 2 cakes for his class Valentines's party. There are 23 students in his class. How much cake will each student rec
    6·1 answer
  • Which of the following represent x=1/2y written in general form
    12·2 answers
  • The flower shop receives a rose delivery every 4 days. Every 10 days, the shop gets other supplies, such as vases, ribbons, and
    13·1 answer
  • the shape of the toy is a cylinder of radius 5 cm and height 8 cm on top of a hemisphere of radius 5cm calculate the volume of a
    15·1 answer
  • Can someone tell me the answer plz and explanation and steps
    15·1 answer
  • 20 pts, unhelpful/blank answers get reported~
    12·1 answer
  • Given OR=OQ. prove&lt;3=&lt;5
    14·1 answer
  • Round 1.5 to one decimal place
    13·2 answers
  • Please help! Im in in a quiz.​
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!