document.write( "Question 681934: we want to form a 4 letter password using letters from A,B,C,D,E,F without repetition, what is the probability that the first letter of the password is A and the last letter is F?? \n" ); document.write( "
Algebra.Com's Answer #422868 by MathLover1(20850)![]() ![]() You can put this solution on YOUR website! 4 letter password using letters from A,B,C,D,E,F\r \n" ); document.write( "\n" ); document.write( "By assuming that the first letter is \"A\", and the last letter is “F\",\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, one has to find two more letters from the remaining 4 letters.\r \n" ); document.write( "\n" ); document.write( "Of the 4 letters, there are 1 B, 1 C, 1 D, and 1 E .\r \n" ); document.write( "\n" ); document.write( "The second and third positions can have two different letters.\r \n" ); document.write( "\n" ); document.write( "When the two letters are different. One has to choose two different letters from the 4 available different choices. This can be done in 4 * 3=12 ways.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Total number of possibilities is 12.\r \n" ); document.write( "\n" ); document.write( "1. A,B,C,F\r \n" ); document.write( "\n" ); document.write( "2. A,C,B,F\r \n" ); document.write( "\n" ); document.write( "3. A,B,D,F\r \n" ); document.write( "\n" ); document.write( "4. A,D,B,F\r \n" ); document.write( "\n" ); document.write( "5. A,C,D,F\r \n" ); document.write( "\n" ); document.write( "6. A,D,C,F\r \n" ); document.write( "\n" ); document.write( "7. A,C,E,F\r \n" ); document.write( "\n" ); document.write( "8. A,E,C,F\r \n" ); document.write( "\n" ); document.write( "9. A,D,E,F\r \n" ); document.write( "\n" ); document.write( "10. A,E,D,F\r \n" ); document.write( "\n" ); document.write( "11. A,B,E,F\r \n" ); document.write( "\n" ); document.write( "12. A,E,B,F \n" ); document.write( " |