math - combinations

posted by .

To study the unity of Canada, a seven=person committee is to be selected from five public figures from Western Canada, five public figures from Central Canada, and five public figures from Eastern Canada.

I figured out parts a & b to this question, but I'm having troubles with c.

How many committees would have at least one representative from each region of Canada?

  • math - combinations -

    suppose nobody from WC is chosen
    no of ways to choose the committee is (10,6) or 210
    The same would be true for each of the other two regions.
    BTW, there is no way that 2 regions can be excluded, since we need 7 people and there would be only 5 available.

    So what we don't want is 3(210) or 630 , where one of the regions in excluded.

    without restrictions, no of committee's is (15,7) = 6435

    So number of committees with at least one person from each region is 6435 - 630 = 5805

  • math - combinations -

    ;S
    i checked the answer key
    and it says 6075

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Geography- Canada

    are the important industries of Canada called Grand banks?
  2. math

    60% of the hockey players are from Eastern Canada and 40% are from Western Canada. 18% of the Eastern players and 12% of the Western players go on to play in the NHL. If a randomly chosen NHL player is selected, what is the probability …
  3. Statistics

    Quick Normal/InvNormal Calculator In a study of human mortality rate, an Actuary estimated that in US and Canada, about 78% (fictional figures) of life insurance claims resulted from accidental deaths. Suppose a study is being planned …
  4. Geography

    This is a question about acid rain, in Canada in particular. Acid rain is an issue in eastern Canada, but not as prevalent in western Canada, due to the fact that the east is more heavily populated and industrialized, so... If acid …
  5. social studies 7th gr

    topic canada what are some major culture groups in Canada?
  6. History

    The population of the United States A. is less than Canada's. B. is a tenth of Canada's population. C. is nearly ten times larger than Canada's. D. is equal to Canada's. I think C or A or D. I need help fast!!!
  7. Global Studies

    1. According to the map, where is Canada's population density highest?
  8. s.s

    what was one important political result of the canada constitution of 1982?
  9. Ethics

    What are the fundamental values of each of these health systems: The system In Mexico, the system in Canada, the system in the United Kingdom, and the system in the United States?
  10. Honors English 10A

    What does the map "under glass" symbolizes in Atwood's "At the Tourist Center in Boston?

More Similar Questions