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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


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

  4. Aug 5, 2011 #3

    Ray Vickson

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    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?

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