Posted by **CL** on Tuesday, April 13, 2010 at 10:32pm.

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 -
**Reiny**, Tuesday, April 13, 2010 at 11:06pm
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 -
**CL**, Tuesday, April 13, 2010 at 11:16pm
;S

i checked the answer key

and it says 6075

## Answer This Question

## Related Questions

- math - 60% of the hockey players are from Eastern Canada and 40% are from ...
- General Paper - "Do we expect too much from public figures?" I wrote an ...
- Geography - This is a question about acid rain, in Canada in particular. Acid ...
- Statistics - Quick Normal/InvNormal Calculator In a study of human mortality ...
- Global Studies - 1. According to the map, where is Canada's population density ...
- Geography- Canada - are the important industries of Canada called Grand banks? ...
- History - The population of the United States A. is less than Canada's. B. is a ...
- Public speaking - Public speaking has been formally studied since: A. the 5th ...
- grade 12 math - In 2011, the estimated population of Canada was 34 699 000. If ...
- social studies 7th gr - topic canada what are some major culture groups in ...

More Related Questions