math

posted by .

A drawer contains exactly 5 red socks, 8 blue socks, 10 while socks, 12 green socks , and 7 yellow socks. Find the least number of socks to be chosen which will guarantee that there will be at least seven socks of the same color.

  • math -

    there's no way to pick 7 red socks, so it's a trick question.

  • math -

    Well, I can't be sure I'm right, but here's how I look at it.

    Red
    Blue
    White
    Green
    Yellow

    Each of the above is a color to choose from.

    There is one that doesn't contain what you need, but you still have to take it into account so let's put that in first.

    Red 5
    Blue
    White
    Green
    Yellow

    Now it could be any color set of at least seven, which denotes seven or more socks.(I've never heard of this problem accounting for half a sock and will not hear it now. Also that's inconsequential in this particular problem.)

    Red 5
    Blue 7
    White 7
    Green 7
    Yellow 7

    Now, let's add that up. (7*4)+5= 33.
    You need to pick 33 socks to be sure you have at leas seven of the same color.

    For anyone looking at Steve's answer, please note that if they explicitly asked for 5 blue socks, the question would be a trick question. However, since they have to be "of the same color" and not "blue", we can calculate for any other color taking into account that there are blue socks that don't meet the minimum.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    a sock drawer contains 10 white socks, 6 black socks, and 8 blue socks. if 2 socks are chosen at random, what is the probability of getting a pair of white socks?
  2. Math

    how many socks would you need to remove from a drawer containing 10 blue socks, 15 black socks and 5 red socks, to in sure that you have at least 2 matching socks?
  3. geometry

    Missy and Mussy are very messy sisters. Their dresser drawer consists of 43 white socks, 2 black socks, 23 blue socks and 8 red socks. What is the minimum number of socks they must remove from the drawer to be certain they have four …
  4. geometry

    Missy and Mussy are very messy sisters. Their dresser drawer consists of 43 white socks, 2 black socks, 23 blue socks and 8 red socks. What is the minimum number of socks they must remove from the drawer to be certain they have four …
  5. MATH

    missy and missy are messy sisters. their dresser drawer consists of 43 white socks, 2 black socks, 23 blue socks and 8 red socks. What is the minimum number of socks they must remove from the drawer to be certain they have four socks …
  6. Meths

    A drawer contains 22 black socks, 22 white socks, 22 blue socks, and 22 brown socks. If the light is off and Matt reaches into the drawer to get his socks, what is the minimum number of socks he must pull out in order to be sure that …
  7. math

    Paul has 8 white socks, 4 blue socks,10 grey socks, and 12 black socks in his drawer. The socks are all jumbled up. What is the greatest number of socks that he would need to pull out to have a matching pair?
  8. math

    A drawer contains 4 red socks and 4 blue socks. Find the least number of socks that must be drawn from the drawer to be assured of having a pair of red socks
  9. Math

    A drawer contains 22 black socks, 22 white socks, and 22 blue socks.  If the light is off and Matt reaches into the drawer to get his socks, what is the minimum number of socks he must pull out in order to be sure that he has …
  10. statistics

    there are 7 blue socks,5 red socks,3 green socks and 4 yellow socks in a drawer. 1.find the sample space 2.how many socks should I take out without looking to get a pair of socks 3.what is the probability that the first socks that …

More Similar Questions