document.write( "Question 285006: how many different 3-letter passwords are possible if no letter can be repeated? \n" ); document.write( "
Algebra.Com's Answer #206755 by toidayma(44)![]() ![]() You can put this solution on YOUR website! Let (xyz) the possible password. Since no letter can be repeated, x <> y <> z. \n" ); document.write( "Now, how many ways to pick a letter for x: 26 (since there are 26 different letters in the alphabet). After picking x, the number of letters left to chose y is: 25. Also, after picking two letters for x and y, there are 24 ways left to pick for z. \n" ); document.write( "So, there are total 26*25*24 possible values of (xyz). \n" ); document.write( " |