math

posted by .

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?

  • math -

    cases:
    6W0M
    5W1M
    4W2M
    3W3M -- no good

    number of cases
    = C(19,6) x C(11,0) + C(19,5) x C(11,1) + C(19,4) x C(11,2)
    = 27132 + 127908 + 213180
    = 368220

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    from a group of women and 4 men, determine in how many ways a committee of people can be selected with no restrictions?
  2. 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
  3. 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?
  4. 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?
  5. statistics

    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?
  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. 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?
  8. 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
  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. math

    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