He has a rowboat which can ONLY carry him and ONE other thing.
If the Fox and Chicken are left together, the Fox will eat the Chicken.
If the Chicken and Corn are left together, the Chicken will eat the Corn.
So how does the man get everything across the river???
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ANSWER 
The man carries the Fox across the river, leaves the Fox and takes BACK the Chicken.
The man leaves the Chicken and takes the Corn across and leaves it then returns.
Then the man gets the Chicken and goes across the river.
Everything is now on the other side of the river!!!