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100 Singapore Dollars

Combinatorics Level 4

Singapore has dollar notes in denominations of \(1\), \(2\) and \(5\). How many ways are there to form exactly \($100\) using just multiples of these notes?

Details and assumptions

The question does NOT state that you must use every denomination. Using 20 $5 notes (and 0 $1 and 0 $2 notes) to form exactly $100 is a valid way.

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