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You are watching: How many combinations with 3 letters

Q1: How countless combinations can be utilizing 3 alphabet letters (from A come Z)? note that wire doesn"t need to be unique, it have the right to be eg. RPP or AZZ
sol:You have the right to make three independent choices, one because that each the the 3 letters. Because that each choice, you have 26 alternatives (the letter 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 desire the letters to be unique, the calculation transforms slightly. You still have actually 26 alternatives for the very first choice, yet for the second choice there are now only 25 options easily accessible (all letters other than the one you currently chose), and also for the third selection there space 24 options easily accessible (all letters other than 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.