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You are watching: How many combinations with 3 alphanumeric characters

Q1: How many type of combicountries can be making use of 3 alphabet letters (from A to Z)? Note that string does not have to be distinct, it deserve to be eg. RPP or AZZ
sol:You can make 3 independent options, one for each of the three letters. For each alternative, you have actually 26 choices (the letters in the alphabet). So the full variety of combicountries is
26⋅26⋅26=263=17576." id="MathJax-Element-16-Frame" role="presentation" style="border: 0px; box-sizing: inherit; direction: ltr; display: inline; float: none; font-family: inherit; font-stretch: inherit; font-variant: inherit; line-height: normal; margin: 0px; max-height: none; max-width: none; min-height: 0px; min-width: 0px; overflow-wrap: normal; padding: 0px; position: relative; vertical-align: baseline; white-space: nowrap; word-spacing: normal;" tabindex="0">26⋅26⋅26=263=17576.
If you want the letters to be distinctive, the calculation transforms slightly. You still have 26 alternatives for the initially option, however for the second choice there are currently only 25 options accessible (all letters other than the one you already chose), and for the 3rd alternative there are 24 options easily accessible (all letters except the two you already chose). So this offers you:
26⋅25⋅24=15600." id="MathJax-Element-17-Frame" role="presentation" style="border: 0px; box-sizing: inherit; direction: ltr; display: inline; float: none; font-family: inherit; font-stretch: inherit; font-variant: inherit; line-height: normal; margin: 0px; max-height: none; max-width: none; min-height: 0px; min-width: 0px; overflow-wrap: normal; padding: 0px; position: relative; vertical-align: baseline; white-space: nowrap; word-spacing: normal;" tabindex="0">26⋅25⋅24=15600.
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onMarch 15, 2020
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