Results 1 to 2 of 2

Math Help - possible colour choices

  1. #1
    Member
    Joined
    Dec 2009
    Posts
    225

    possible colour choices

    I have a packet of M&Mís. M&Mís come in six possible colours: red, green,
    blue, orange, yellow and brown. How many M&Mís need to be in the packet so that I
    can be sure I have:

    (a) At least five M&Mís of one colour.
    (b) At least nine M&Mís of one colour.
    (c) At least five red M&Mís.

    Here are the answers (which I believe are correct)

    (a) 6 \times 4 +1 = 25
    (b) 6 \times 8 +1 = 49
    (c) Impossible. There could be far too many non-reds.

    Could someone explain to me how they worked out those answers for part (a) and part (b)? Why did they times those numbers?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor undefined's Avatar
    Joined
    Mar 2010
    From
    Chicago
    Posts
    2,340
    Awards
    1
    Quote Originally Posted by demode View Post
    I have a packet of M&Mís. M&Mís come in six possible colours: red, green,
    blue, orange, yellow and brown. How many M&Mís need to be in the packet so that I
    can be sure I have:

    (a) At least five M&Mís of one colour.
    (b) At least nine M&Mís of one colour.
    (c) At least five red M&Mís.

    Here are the answers (which I believe are correct)

    (a) 6 \times 4 +1 = 25
    (b) 6 \times 8 +1 = 49
    (c) Impossible. There could be far too many non-reds.

    Could someone explain to me how they worked out those answers for part (a) and part (b)? Why did they times those numbers?
    6*4 refers to having 4 red, 4 green, ... , 4 brown M&Ms. This is the maximum number of M&Ms you can have and NOT necessarily have 5 of one colour. So, add 1 to it and you get your answer. Part (b) is exactly the same.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. My choices of online resources
    Posted in the Math Forum
    Replies: 0
    Last Post: October 18th 2011, 10:19 PM
  2. How Many Choices of Ice Cream?
    Posted in the Discrete Math Forum
    Replies: 3
    Last Post: October 22nd 2010, 02:56 PM
  3. Sandwhich choices
    Posted in the Discrete Math Forum
    Replies: 5
    Last Post: May 5th 2010, 05:18 AM
  4. the choices r ambiuous help me out
    Posted in the Algebra Forum
    Replies: 2
    Last Post: August 2nd 2009, 10:36 AM
  5. Number of Choices..
    Posted in the Discrete Math Forum
    Replies: 3
    Last Post: January 26th 2008, 04:44 AM

Search Tags


/mathhelpforum @mathhelpforum