SOLUTION: TEAM OF 5 IS TO BE CHOSEN FROM 4 MEN AND 5 WOMEN TO WORK ON SPECIAL PROJECT. 1. In how many ways can the team be chosen? 2.In how many ways can the team be chosen to include jus

Algebra ->  Permutations -> SOLUTION: TEAM OF 5 IS TO BE CHOSEN FROM 4 MEN AND 5 WOMEN TO WORK ON SPECIAL PROJECT. 1. In how many ways can the team be chosen? 2.In how many ways can the team be chosen to include jus      Log On


   

Question 1172127: TEAM OF 5 IS TO BE CHOSEN FROM 4 MEN AND 5 WOMEN TO WORK ON SPECIAL PROJECT.
1. In how many ways can the team be chosen?
2.In how many ways can the team be chosen to include just 3 women?
3.what is the probability that the team includes at least 3 women?
4.What is the probability that the team includes more men than women
Found 2 solutions by Boreal, Alan3354:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
total number of ways is 9C5=126
with 3 women it would be 5C3*4C2=60 ways
at least 3 women is 60 (for 3) 5C4*4C1 or 20 (for 4) and 1 for 5, 81 ways for at least 3 women.
more men than women is at least 3 men.
that is 4C3*5C2=40 ways plus 4C4*5C1=5 ways
All this add to 126 and include all the possibilities.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
TEAM OF 5 IS TO BE CHOSEN FROM 4 MEN AND 5 WOMEN TO WORK ON SPECIAL PROJECT.
1. In how many ways can the team be chosen?
If all positions are equal: --> 9*8*7*6*5
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2.In how many ways can the team be chosen to include just 3 women?
5*4*3*4*3
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3.what is the probability that the team includes at least 3 women?
4.What is the probability that the team includes more men than women