1.8 $100 bills,1 $50 bill,1 $20 bill, a loonie, 2 quarters 1 nickel,1 penny
2. 17 $50 bills, 1$20 bill,a loonie,2 quarters,1 nickel,1 penny
3. 7 $100 bills,3 $50 bills,1 $20 bill,a loonie,2 quarters,1 nickel,1 penny
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What are three different ways to make the number 15,638 with only hundreds,tens, and ones
There are 26 different letters.There are 10 different numbers.If a letter or number is allowed to repeat in the code:Number of ways to make 3 letters = 26 x 26 x 26 = 17,576Number of ways to make 2 numbers = 10 x 10 = 100Number of ways to make 3 letters and 2 numbers = 17,576 x 100 = 1,757,600Each group of 3 letters and 2 numbers can be arranged in (5 x 4 x 3 x 2) = 120 different ways.So the number of different codes = 1,757,600 x 120 = 210,912,000 .If a letter or number is not allowed to repeat in the code:Number of ways to make 3 letters = 26 x 25 x 24 = 15,600Number of ways to make 2 numbers = 10 x 9 = 90Number of ways to make 3 letters and 2 numbers = 15,600 x 90 = 1,404,000Each group of 3 letters and 2 numbers can be arranged in (5 x 4 x 3 x 2) = 120 different ways.So the number of different codes = 1,404,000 x 120 = 168,480,000 .
If you have three DIFFERENT letters, you can arrange them in 3! = 1 x 2 x 3 = 6 different ways.
3! = 1 x 2 x 3 = 6 ways.
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