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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 letter (from A to Z)? keep in mind that string doesn"t have to be unique, it can be eg. RPP or AZZ
sol:You have the right to make three independent choices, one for each that the 3 letters. Because that each choice, you have actually 26 alternatives (the letters in the alphabet). For this reason 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 it is in unique, the calculation transforms slightly. Girlfriend still have actually 26 options for the first choice, however for the 2nd choice over there are currently only 25 options available (all letters except the one you currently chose), and for the third choice there are 24 options accessible (all letters except the 2 you already chose). So this gives 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.