Posted by **Lisa** on Friday, January 18, 2008 at 11:06pm.

from a group of 6 men and 7 women going on a trip, find the number of

a) ways of selecting a female tour guide, a female cook and a driver of either sex

b) ways of selecting a commitee of 5 people with 4 or more men

- Data management -
**Damon**, Saturday, January 19, 2008 at 2:11pm
7 ways for tour guide, then 6 ways for cook then 11 ways for driver

7 * 6 * 11

combinations of 5 out of the six men at a time

6!/[ 5!(1!)] = 6

combinations of 4 out of the 6 men

6!/[ 4!(2!)] = 6*5/2 = 15

If we have 4 men, then one of the 7 women must serve (we have already included the remaining two men in the five men option)

so for each combination of 4 men we have a choice of 7 women

so in all

6 + 15 * 7

- Data management -
**jazz**, Saturday, June 14, 2008 at 2:44pm
since there is a title for a job so

(7 choose 2)(11 choose 1)

11 because u already choose 2 women

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