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:
2
Step-by-step explanation:
It makes sense because it goes down one by one in both the input and output values
Answer:
Step-by-step explanation:
Given
Required
Evaluate
Start by dividing 15 by 3
Apply the following law of indices on indices x and z
So, the expression becomes:
Answer:
r = 1
Step-by-step explanation:
Direct variation describes a relation ship in which two variables are directly proportion and is represented as,
y = rx or
From the table,
Parallel lines have equal slopes. so the equation y=-4x+5.has slope of -4 because this is in slope intercept form y=mx+b where m is slope.
so we know a parallel line will have slope -4
we have a point on the line so we will use point slope formula to solve.
y-y1=m(x-x1) where (x1,y1) is point on line
so we get
y-4=-4(x-0) to put in slope intercept form we solve for y
y-4=-4x
y=-4x+4 is an equation of a line parallel to y=-4+5 passing through (0,4)
