Five numbers x_1,x_2,x_3,x_4,x_5

Question

Five numbers ${x_1},{x_2},{x_3},{x_4},{x_5}$

Accepted Answer

No. of ways to select and arrange $\mathrm{x}_1, \mathrm{x}_2, \mathrm{x}_3, \mathrm{x}_4, \mathrm{x}_5$ from $1,2,3$.......18

$$
\begin{aligned}
& \mathrm{n}(\mathrm{s})={ }^{18} \mathrm{C}_5 \\
& \[\begin{array}{lllll} x_1 & \underset{7}{\left(x_2\right)} & x_3 & \underset{11}{\left(x_4\right)} & x_5 \end{array}\end{aligned}$$ \\
\& \mathrm{n}(\mathrm{E})={ }\^6 \mathrm{C}\_1 \times{ }\^3 \mathrm{C}\_1 \times{ }\^7 \mathrm{C}\_1 \\
\& P(E)=\frac{6 \times 3 \times 7}{{ }\^{18} C\_5} \\
\& \frac{1}{17 \times 4}=\frac{1}{68} \\

\]

Solutions · 1