Question: A beep card loading machine only accepts 2 0 - peso coins, 2 0 - peso bills, and 1 0 0 - peso bills. Therefore,

A beep card loading machine only accepts

20 -

peso coins,

20 -

peso bills, and

100 -

peso bills. Therefore, you can only load in increments of

20

in this machine.

Find a recurrence relation for the number of ways to deposit money to your beep card, where the order in which the coins and bills are deposited matters.

What are the initial conditions?

How many ways are there to load

100

pesos? Validate your answers by listing all the possibilities.

How many ways are there to load

200

pesos?

A beep card loading machine only accepts 2 0 -

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