If b is in the first position then c can be in any 1 of the remaining 6 positions.
If we start with ab then the letter c can be in any one of 5 positions and if we have aab there are 4 possible positions for c and so on.
So the total number of possible sequences where b comes first = 6+5+4+3+2+1 = 21.
The same argument applies when c comes before b so that gives us 21 ways also.
So the answer is 2 *21 = 42 different sequences.
A more direct way of doing this is to use factorials:-
answer = 7! / 5! = 7 * 6 = 42.
( We divide by 5! because of the 5 a's.)
Answer:
f(x) = -(x-4)^2 + 5
Step-by-step explanation:
The function 
is a quadratic function. Its graph looks like a parabola. The graph has a vertex of (4,5) and opens up downward.
Proving that 
for all x:
Answer:
x = - 8
3x - 2y = 18 is the same as 3x - (2x - 13 times 2) = 18
Then I used an algebra site for the rest.
It should be x = - 8
Answer:
(5x-1)^2=16
Step-by-step explanation:
Answer:
The answer to your question is: 30°
Step-by-step explanation:
Data
m∠ 1 = 5x
m∠ 3 = x - 24
Process
m ∠ 1 = m ∠ 3 because they are vertical angles
5x = x - 24
5x - x = 24
4x = 24
x = 24 / 4
x = 6
Angle 1 = 5(6)
= 30°
