SOLUTION: Using the letters QRSTUVWXYZ, how many different arrangements could be made if X,Y, or Z must come first? Thanks a ton for the help! -Isaac

Algebra ->  Permutations -> SOLUTION: Using the letters QRSTUVWXYZ, how many different arrangements could be made if X,Y, or Z must come first? Thanks a ton for the help! -Isaac      Log On


   

Question 939752: Using the letters QRSTUVWXYZ, how many different arrangements could be made if X,Y, or Z must come first?
Thanks a ton for the help!
-Isaac
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
Choose the first letter 3 ways,
Choose the 2nd letter 9 ways.
Choose the 3rd letter 8 ways.
Choose the 4th letter 7 ways.
Choose the 5th letter 6 ways.
Choose the 6th letter 5 ways.
Choose the 7th letter 4 ways.
Choose the 8th letter 3 ways.
Choose the 9th letter 2 ways.
Choose the 10th letter 1 ways.

3×9×8×7×6×5×4×3×2×1 = 3×9! = 1088640 ways.

Edwin