SOLUTION: A group of Mathematics faculty at the local college consists of 10 women and 8 men. Four people are to be selected to go to a conference. How many different ways can a group of

Question 1181276: A group of Mathematics faculty at the local college consists of 10 women and 8 men. Four people are to be selected to go to a conference.
How many different ways can a group of four people be selected from this group of 18?
In how many ways can four women be chosen from the group of 10 women ?
What is the probability that all women will be chosen to attend the conference? (enter reduce fraction or decimal)
Answer by ikleyn(52778) (Show Source): You can put this solution on YOUR website!
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A group of Mathematics faculty at the local college consists of 10 women and 8 men.
Four people are to be selected to go to a conference.
(a) How many different ways can a group of four people be selected from this group of 18?
(b) In how many ways can four women be chosen from the group of 10 women ?
(c) What is the probability that all women will be chosen to attend the conference? (enter reduce fraction or decimal)
~~~~~~~~~~~~~~~~

(a)  In   =  = 3060 ways.     ANSWER


(b)  In   =  = 210 ways.         ANSWER


(c)  P =  =  = 0.06863   (rounded).            ANSWER

Solved. // All questions are explained and answered.

Happy learning (!)

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