100 Singapore Dollars

Probability Level 4

Singapore has dollar notes in denominations of 11, 22 and 55. How many ways are there to form exactly $100\$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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