1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Question on # of possible rearrangements given conditions

  1. Aug 5, 2011 #1
    1. How many ways are there to rearrange the letters of INVESTIGATION given that the first letter is a V and the last letter is not a T?

    I get the first part, first letter being V cuts the # of combinations from 13! to 12!, but how do I handle the part about the last letter not being T? Most of what I have found online doesn't really relate to this particular issue.
  2. jcsd
  3. Aug 5, 2011 #2


    User Avatar
    Homework Helper
    Gold Member

    How many possibilities do you have for the last letter? And then before the last one?

  4. Aug 5, 2011 #3

    Ray Vickson

    User Avatar
    Science Advisor
    Homework Helper

    12! is the number of permutations in which we allow both T and non-T as the last letter. Can you count the number in which T *is* the last letter?

Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Question on # of possible rearrangements given conditions