14,000 because 494 would round down since it is not above 500.
<span>When the order doesn't matter, we would be using the Combination.
While, when the order does matter it is called permutation.</span>
In this case, permutation would be use since there is a
ranking for the albums.
We need to choose and arrange 5 albums out of 20. Hence, the
number of possible ways will be:
<span>5/20 P = 20! Divided by (20 – 5)! = 20 x 19 x 18 x 17 x 16 =
1860480</span>
The given system of equation has no solution.
<u>Step-by-step explanation</u>:
<u><em>step 1</em></u><em> :</em>
The given equations are 4x + 2y = 14 and 2x + y = 7.
<u><em>step 2</em></u><em> :</em>
Let 4x + 2y = 14 be the first equation.
Let 2x + y = 7 be the second equation.
The solution (x,y) can be determined by solving the two equations, if only the given two equations are different.
<u><em>step 3</em></u><em> :</em>
In first equation taking 2 out as a common factor on both sides, the equation becomes:
2 (2x + y) = 2 (7)
So, the first equation resembles the second one.
<u><em>step 4</em></u><em> :</em>
Since both the equations are similar, they cannot be solved to get a solution. Therefore, the system of equation has no solution which is also known as inconsistent.
