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.

by definition, an arc subtended by a central angle of some given measure has the same measure. so .

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation: