Algebra
Proofs

Is there proof that there is 291 ways to make change for a dollar?

123

2018-01-28 12:57:46

No there is not and there cannot be. There are a number of countries which use a dollar as its major currency unit. Among these are Australia and the US. Australia has a 20 cent coin but not a 25 cent coin whereas the US has a 25 cent coin but not a 20 cent coin. Also the smallest Australian coin is a 5 cent coin. The number of ways of making change for a dollar in Australia and US will, therefore, be different.

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Related Questions

There are 293 ways to make change for a dollar using the coins of a penny thru 1/2 dollar

From my calculations, there's only 293 ways to make change for a dollar.

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http://www.teachnet.com/lesson/math/293changedollar.html

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There are many. Various ways to make a dollar using coins. 100 pennies, 4 quarters, 2 50 cent coins, 1 50 cent coin and 2 quarters, 10 dimes, 20 nickels, and many variations. There are 293 ways to make a dollar but maybe there are more possible ways.

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Since 1992 when the 2&cent; and 1&cent; coins were phased out, there are only five coins of value \$1 or less in circulation in Australia: \$1, 50&cent;, 20&cent;, 10&cent; and 5&cent;. This means that there are exactly 50 ways to make a dollar out of change. The common trivia answer of 293 ways only applies to the U.S. system which has pennies and quarters. If Australia had pennies, there would be 364 ways to make a dollar (slightly larger than the U.S. answer because the 20&cent; coin can be utilised in more combinations than the quarter). Prior to 1992, the correct answer was a whopping 4,583 ways to make a dollar! In fact 2&cent; and 1&cent; coins are still legal tender, so this answer could still be regarded as correct.

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