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You are watching: How many three letter combinations are there

Q1: How numerous combinations have the right to be making use of 3 alphabet letters (from A to Z)? note that wire doesn"t need to be unique, it can be eg. RPP or AZZ
sol:You have the right to make 3 independent choices, one for each of the three letters. Because that each choice, you have 26 alternatives (the letters in the alphabet). So the total variety of combinations 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 letter to be unique, the calculation transforms slightly. Friend still have actually 26 options for the very first choice, however for the second choice over there are now only 25 options available (all letters other than the one you currently chose), and for the third selection there are 24 options available (all letters except the 2 you already chose). Therefore 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.