Consider a flagpole with 10 spaces. there are 3 types of flags: red flags occupy 1 space, blue and green flags occupy 2 spaces each. in how many ways can the 10 spaces of the flagpole can be covered with flags such that no spaces is empty.

There are 720 ways to do so.

Step-by-step explanation:

Since we have given that

Number of spaces in a flagpole = 10

Number of types of flag = 3

Number of spaces for red flag = 1

Number of spaces for green flag = 1

Number of spaces for blue flag = 1

We will use "Fundamental theorem of counting":

So, Number of ways that the 10 spaces of the flagpole can be covered with flags such that no spaces is empty is given by

Hence, there are 720 ways to do so.

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation:

191 students play sports and ninety-seven 10th graders were surveyed.

step-by-step explanation: