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New 100$ bill with eight different digits - Not Ladder - How many combinations there are?
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<p>[QUOTE="funkee, post: 1872512, member: 37925"]You did a combination calculation. We are looking for permutations, because order matters. With a combination, 12345678 is indistinguishable from 85647213. So there are 45 separate combinations of 8 numbers if we don't consider the order. In our case, we have many more results, because a different order means a different note.</p><p><br /></p><p>The correct formula is n! / (n-r)! = 10! / (10-8)! =</p><p><br /></p><p>(10x9x8x7x6x5x4x3x2x1) / 2x1 =</p><p><br /></p><p>10x9x8x7x6x5x4x3 =</p><p><br /></p><p>1,814,400 notes per block. That is of course if we factor in high serial numbers that are presently reserved for sheets.</p><p><br /></p><p>P.S. Thank you for the wonderful flashback to high school math.[/QUOTE]</p><p><br /></p>
[QUOTE="funkee, post: 1872512, member: 37925"]You did a combination calculation. We are looking for permutations, because order matters. With a combination, 12345678 is indistinguishable from 85647213. So there are 45 separate combinations of 8 numbers if we don't consider the order. In our case, we have many more results, because a different order means a different note. The correct formula is n! / (n-r)! = 10! / (10-8)! = (10x9x8x7x6x5x4x3x2x1) / 2x1 = 10x9x8x7x6x5x4x3 = 1,814,400 notes per block. That is of course if we factor in high serial numbers that are presently reserved for sheets. P.S. Thank you for the wonderful flashback to high school math.[/QUOTE]
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