Results 1 to 2 of 2

Thread: "4 blocks" Problem

  1. #1
    Jan 2009

    "4 blocks" Problem

    Gemma stacks 4 blocks, each a different colour, on top of one another to create a tower. How many different towers can she make if she puts all four blocks in a different order each time?

    Is there an easier way to do this?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Apr 2009
    the answer to this is 4! or 24 different ways.

    This can be represented by blocks represented by a,b,c,d

    A B C D, A B D C, A C B D, A C D B, A D B C, A D C B, B A C D, B A D C, B C A D, B C D A, B D A C, B D C A, C A B D, C A D B, C B A D, C B D A, C D A B, C D B A, D A B C, D A C B, D B A C, D B C A, D C A B, D C B A.... 24 COMBINATIONS

    Have a look at factorials on the net and this will hopefully give you some ideas on how to attack problems of this nature, without having to produce a big sample space to work out the answer.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: Sep 16th 2011, 01:08 AM
  2. Replies: 2
    Last Post: Aug 6th 2011, 03:00 PM
  3. Replies: 2
    Last Post: Apr 24th 2011, 07:01 AM
  4. Replies: 1
    Last Post: Oct 25th 2010, 04:45 AM
  5. Ellipse problem with "a" and "b" parameters
    Posted in the Math Topics Forum
    Replies: 2
    Last Post: Jun 5th 2009, 12:28 PM

Search Tags

/mathhelpforum @mathhelpforum