SOLUTION: An executive committee consists of 9 members: 4 men and 5 women. 3 members are selected at random to attend a meeting in Hawaii. The names are drawn from a hat. What is the probabi
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Question 484391: An executive committee consists of 9 members: 4 men and 5 women. 3 members are selected at random to attend a meeting in Hawaii. The names are drawn from a hat. What is the probability that all 3 selected are men? (integer or simplified fraction)
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
There are )
ways to form a three person group from a 9 person committee. There are )
ways to make a three person group from a group of 4 men.
So the probability of all men are the number of ways to form an all male group divided by the total number of groups:
}{\left(9\cr 3\right\)})
Hint: )
is the number of combinations of 
things taken 
at a time and is calculated by !})
You can do your own arithmetic -- don't forget to reduce your fraction.
John
My calculator said it, I believe it, that settles it
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