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Suppoe you have the folllowing coins in your pocket: 5 cents, 10 cents, 20 cents, 50 cents, $1,
$2. How many different sums of money can you make?
Can you show steps to the solution?
Solution
you have 2 optios for each coin 1 or 0
lets consider binary format each digit represents single type of coin
111111 suggests that you have taken all coins so toatal is 3$ 85 cents
so total combinations are 2^6-1=63

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