C(6,3)

C(6,3) + 3 P(6,3)

Correct answer:

x =  140

Step-by-step explanation:

$$\begin{gathered} C_3(6)=\left({\displaystyle \genfrac{}{}{0px}{}{6}{3}}\right)={\displaystyle \frac{6!}{3!(6-3)!}}={\displaystyle \frac{6\cdot 5\cdot 4}{3\cdot 2\cdot 1}}=20 \\ c=\left(\genfrac{}{}{0px}{}{6}{3}\right)=20 \\ p=6\cdot 5\cdot 4=120 \\ x=c+p=20+120=140 \end{gathered}$$

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