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jmc

counting and probability junior

Problem

Marius is entering a wildlife photo contest, and wishes to arrange his seven snow leopards of different heights in a row. If the shortest two leopards have inferiority complexes and demand to be placed at the ends of the row, how many ways can he line up the leopards?
Solution
There are two ways to arrange the shortest two leopards. For the five remaining leopards, there are ways to arrange them.

Therefore, the answer is
Final answer
240\text{ ways.}