statistics

posted by .

Suppose that a department contains 8 men and 20 women. How many ways are there to form a committee with 6 members if it must have strictly more women than men?

  • statistics -

    If more women than men, possibilities are
    6W, 0M
    5W, 1M
    4W, 2M
    3W, 3M --- no longer possible

    6W,0M ---> C(20,6) x C(8,0) = 38760
    5W, 1M ---> C(20,5) x (8,1) = 15504(8) = 124032
    4W, 2M ---> C(20,4) x C(8,2) = 4845(28) = 135660

    add them up

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. gr12 math

    froma group of 6 ladies and 4 men, determine in how many ways a committee of 4 people cxan be selected. a. with no restirctions b. 4 women c. 3 women and 1 men d. 2 women and 2 men e. 4 men
  2. math

    A department contains 12 men and 17 women. How many ways are there to form a committee with 6 members if it must have strictly more women than men?
  3. math

    A department contains 13 men and 20 women. How many ways are there to form a committee with 6 members if it must have strictly more women than men?
  4. statistics permutations and combinations

    Selecting a committee: There are 7 women and 5 men in a department. How many ways can a committee of 4 be selected if there must be at least 2 women?
  5. discrete math

    Suppose that a department contains 10 men and 17 women. How many ways are there to form a committee with 6 members if it must have strictly more women than men?
  6. discrete math

    Suppose that a department contains 10 men and 17 women. How many ways are there to form a committee with 6 members if it must have strictly more women than men?
  7. Discreate Math

    Suppose that a department contains 13 men and 19 women. How many ways are there to form a committee with 6 members if it must have strictly more women than men
  8. math

    Suppose that a department contains 11 men and 19 women. How many ways are there to form a committee with 6 members if it must have strictly more women than men?
  9. business math

    out of 7 men and 5 women, 5 members of a committee are selected. in how many ways can this be done if (a) there must be exactly 3 men (b) there must be more women than men?
  10. statistics

    there are 8 women and 6 men in a department. How many ways can a committee of 4 people be selected if there must be at least two women on the committee?

More Similar Questions