Chapter 13.10, Problem 36SR

To determine

The statement is permutation or combination then solve.

The number of different flags can be made from the red, blue and green as well as white colour if single flag has three vertical stripes and no one colour repeat.

Answer to Problem 36SR

Given situation is combination and there are $4$ number of different flags can be made from the red, blue and green as well as white colour if single flag has three vertical stripes and no one colour repeat.

Explanation of Solution

As from the red, blue, green and white colour each flag has three vertical stripes and no colours can repeat again.

So the order is not prioritized as well as no colours is repeated so these is the combination.

  $\begin{array}{l}C\left(4,3\right)=\frac{4!}{3!\times \left(4-3\right)!}\\ C\left(4,3\right)=\frac{4\times 3!}{3!\times 1!}\\ C\left(4,3\right)=4\end{array}$ .

Conclusion:

Hence, these is the combination situation.