In how many ways can the numbers 1 through 5 be entered once each into the five boxes below so that all the given inequalities are true?
$\boxed{\phantom{X}}>\boxed{\phantom{X}}>\boxed{\phantom{X}}<\boxed{\phantom{X}}<\boxed{\phantom{X}}$
+118608 The middle one must be the smallers so the middle one is 1
Now counting.
54123
53124
52134
43125
42135
32145
so I get 6 ways
LaTex for the boxes:
\boxed{\phantom{X}}>\boxed{\phantom{X}}>\boxed{\phantom{X}}<\boxed{\phantom{X}}<\boxed{\phantom{X}}
That is interesting. I shall try and remember it.
