h2 math p&c qns

• quailmaster

  11 Feb 15, 14:27

   

   

  To take a test, a group of 10 students are to be seated in two rows; the front and the back row, 

  where each row has 5 seats. Find the number of possible distinct seating arrangements if

  (i) there is no restriction, [1]

  (ii) 2 particular students are not to be seated next to each other on the same row, [3]

  (iii) 2 particular students are absent on that day and no student seated in the front row is taller 

  than any student seated in the back row. (You may assume that no 2 students have the 

  exact same height.)

  hi i need help with part iii. Thanks in advance

   

• quailmaster

  11 Feb 15, 18:43

  Can i just assume that the shortest 4 people or 5 people sits in the front row?

• wee_ws

  11 Feb 15, 19:32

  Hi,

    Yes, you are on the right track :)

    There is also the case where the shortest 3 students are seated in front.

    Thanks!

  Cheers,
  Wen Shih

• wee_ws

  11 Feb 15, 19:38

  Hi,

    It would be an interesting problem for the student to explore this extension:

    Two of the students have the same tallest height and the other 5 students are of varying shorter heights

    Thanks!

  Cheers,
  Wen Shih

• Gaw ds

  13 Mar 15, 16:21

  Hi,

  may I ask how to post a question here?

• UltimaOnline

  13 Mar 15, 18:07

  Originally posted by Gaw ds:

  Hi,

  may I ask how to post a question here?

  
  To start a new thread on SgForum's "HomeWork Forum", click on the button which says "New Topic" located at the top right corner of the webpage.
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