How many ways are there to arrange the letters a, b, c, and d such that a is not followed immediately by b?
1 answer:
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:
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:
options
Now just subtract the 6 combinations that don't work from the total:
24 - 6 = 18
The answer is 18.
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:
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
The solutions for the inequality are -
- (3, 3)
- (7, 7)
- (10, 10)
The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
A inequality is used to compare two or more expressions. The straight line inequalities are of the form -
y > mx + c
y < mx + c
y ≥ mx + c
y ≤ mx + c
We have the following inequality -
x + 3y > 6
We can write -
x + 3y > 6
3y > - x + 6
y > (-1/3)x + 2
Refer to the graph of the inequality attached. The plotted points in the shaded region represent the solutions for the inequality. We can write -
- (3, 3)
- (7, 7)
- (10, 10)
Therefore, the solutions for the inequality are -
- (3, 3)
- (7, 7)
- (10, 10)
To solve more questions on Plotting inequalities, visit the link below -
#SPJ1
Answer:
<h2>Angle EOC.</h2>Step-by-step explanation:
You can observe the figure in the image attached.
Notice that angle AOE is 90°, that is, it's a right angle. (The little red square indicates its perpendicularity).
Now, the adjacent and congruent angle to AOE is angle EOC, because they are on a straight angle, they are supplementary angles and also adjacent angles.
