Division

The division has 18 members: 10 girls, six boys, and two leaders. If one patrol has two boys, three girls, and one leader, how many different patrols can be created?

Correct answer:

n =  600

Step-by-step explanation:

$$\begin{gathered} n_1=\frac{6\cdot 5}{2!}=15 \\ {n}_2=\frac{10\cdot 9\cdot 8}{3!}=120 \\ {n}_3=2 \\ n=\frac{n_1\cdot n_2\cdot n_3}{3!}=\frac{15\cdot 120\cdot 2}{3!}=600 \end{gathered}$$

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