Explanation

The correct answer is: n!.

If X has n elements, then the number of permutations (i.e., arrangements) that can be taken on X is given by the factorial function:

n! = n × (n-1) × (n-2) × ... × 2 × 1

This counts the number of ways to arrange the n elements in a particular order.

Explanation

• In a maximization or minimization problem, the objective function represents the quantity being optimized (maximized or minimized). The coefficients of the variables in the objective function determine the direction of the optimization.
• A negative coefficient value in the objective function indicates that an increase in the value of the corresponding variable (x) leads to a decrease in the value of the objective function (z).

Explanation

   Perimeter احاطہ / ارد گرد

Perimeter formula =a+b+c

=6.5+7+10.5=24

Explanation

if the sum of two angles is 180 degrees then they are said to be supplementary angles, which form a linear angle together.

Whereas

if the sum of two angles is 90 degrees, then they are said to be complementary angles, and they form a right angle together.

Explanation

An angle total of 180 degrees.

Triangle has Angle A 30 degrees.

The remaining two angles should = 150

90 + 60 =150

75 + 75 = 150

70 + 80 =150

Explanation

Explanation

The common ratio of a geometric sequence cannot be zero because if it were, the sequence would become a series of zeros, which is not considered a geometric sequence. 

Explanation

If two lines are parallel, the difference of their slopes is zero.

This is because parallel lines have the same slope. 

Explanation

Explanation

If f(x,y) is a homogeneous function of degree zero in x and y, then it satisfies the property: f(ax,ay) = f(x,y)

for any non-zero constant a.

Since the degree is zero, we can write:

f(x,y) = f(1, y/x)

This shows that f(x,y) is a function of y/x alone.