We prove that 

$(1)$ 

for a Tychonoff space $X$ 

with pseudocompactness of $X^2$, $\beta X$ 

is orderable 

if and only if $X$ has a weak selection. 

$(2)$ 

Let $X$ be an almost compact space. 

Then the following are equivalent: 

(i)$X$  is orderable, 

(ii) $X$ has a continuous selection, 

(iii) $X$ has a weak selection. 

$(3)$ 

For a connected Tychonoff space $X$ 

with a continuous selection, 

$X^2$ is pseudocompact then $X$ is 

either compact or almost compact.