Question 1181276
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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)
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<pre>
(a)  In  {{{C[18]^4}}} = {{{(18*17*16*15)/(1*2*3*4)}}} = 3060 ways.     <U>ANSWER</U>


(b)  In  {{{C[10]^4}}} = {{{(10*9*8*7)/(1*2*3*4)}}} = 210 ways.         <U>ANSWER</U>


(c)  P = {{{210/3060}}} = {{{7/102}}} = 0.06863   (rounded).            <U>ANSWER</U>
</pre>


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