Freda has a large bag of coins, containing lots of $$1$$p, $$2$$p and $$5$$p coins.  Using exactly $$2$$ coins, she can make the following totals:  $$2$$p $$= 1$$p $$+ 1$$p  $$3$$p $$= 1$$p $$+ 2$$p  $$4$$p $$= 2$$p $$+ 2$$p  $$6$$p $$= 1$$p $$+ 5$$p  $$7$$p $$= 2$$p $$+ 5$$p  $$10$$p $$= 5$$p $$+ 5$$p  How many different totals can she make using exactly $$3$$ coins? 
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