Results 1 to 2 of 2

Math Help - Assistance with permutation.

  1. #1
    Newbie
    Joined
    Feb 2009
    Posts
    11

    Smile Assistance with permutation.

    Hey everyone, I need to acquire an explanation concerning a question I encountered
    with statistics. Here it is:

    How many even numbers greater than 50000 can be made with the digits 3, 4, 5, 6, 7, 0 without repeating any of the digits?

    The book lists the answer as 504 but I need an explanation as to how this answer is attained. If someone could explain it, I'd be very grateful.

    Thanks.
    Last edited by mr fantastic; October 9th 2010 at 02:19 PM. Reason: Edited title.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,677
    Thanks
    1618
    Awards
    1
    Quote Originally Posted by Squared View Post
    How many even numbers greater than 50000 can be made with the digits 3, 4, 5, 6, 7, 0 without repeating any of the digits?
    Assuming you mean all five digit even numbers greater than 50000 along with all six digit even numbers then the given answer is correct.
    Start with the five digit numbers ending in 0: there are 3\cdot 4! of those.
    The five digit numbers ending in 4: there are 3\cdot 4! again.
    But five digit numbers ending in 6: there are 2\cdot 4! of those. Because we can use only the 5 or 7 as the first digit.
    That gives 192 five digit even numbers greater than 50000.

    Now you count the six digit even numbers
    Remember, they cannot have a 0 in the first place.
    Last edited by Plato; October 9th 2010 at 01:03 PM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. assistance please
    Posted in the Algebra Forum
    Replies: 21
    Last Post: November 20th 2010, 03:27 AM
  2. Need Assistance...
    Posted in the Algebra Forum
    Replies: 1
    Last Post: May 1st 2009, 06:33 AM
  3. I need assistance
    Posted in the Algebra Forum
    Replies: 1
    Last Post: July 12th 2008, 11:37 PM
  4. Need assistance...please
    Posted in the Calculus Forum
    Replies: 0
    Last Post: April 28th 2008, 02:25 PM
  5. Statistics (need assistance)
    Posted in the Advanced Statistics Forum
    Replies: 5
    Last Post: April 22nd 2008, 06:14 PM

Search Tags


/mathhelpforum @mathhelpforum