Answer: There are 360360 ways to appoint the members of the cabinet.
Step-by-step explanation:
Since we have given that
Number of eligible candidates = 15
Number of spots available = 5
We need to find the number of different ways the members can be appointed where rank matters
For this we will use "Permutations":
So, the required number of different ways in choosing the members for appointment is given by
Hence, there are 360360 ways to appoint the members of the cabinet.
The sum of the angle 5 and angle 6 is 180 degrees. Then the correct option is C.
<h3>What is Supplementary angle?</h3>When two angles are said to be supplementary angles if their sum is 180 degrees.
A triangle is shown with its exterior angles.
The interior angles of the triangle are angles 2, 3, 5.
The exterior angle at angle 2 is angle 1.
The exterior angle at angle 3 is angle 4.
The exterior angle at angle 5 is angle 6.
We know that the sum of interior and exterior angle of the triangle is 180 degrees.
∠1 + ∠2 = 180°
∠3 + ∠4 = 180°
∠5 + ∠6 = 180°
Then the correct option is C.
More about the Supplementary angle link is given below.
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