An Alphabetical Collection!
Each book from a library receives a label with 3 alphabets from A to Z as shown in the picture:
The first book receives the label AAA. The second book receives the label AAB and so on.
After the book AAZ, there are the books ABA, ABB, ABC and so on.
The last book of this library is the book DAB. How many books are there in this library?
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1 solution
{AAA,AAB,.....,AAZ} HAS 26 BOOKS.
(ABA,ABB,......,ABZ) HAS 26 BOOKS ........
{AZA,AZB,.....,AZZ) HAS 26 BOOKS.tOTAL BOOKS =26.26=676 BOOKS
AS SET STARTS WITH B AND C HAVE 676 BOOKS EACH.
TOTAL BOOKS =676.3=2028
START WITH D {DAA,DBA.....,DBZ)
sO TOTAL BOOKS =2028+2=2030