Question 1100631
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a group consists of six men and five women.Three people are selected to attend a conference.<br>
a) how many ways  can three people be selected from this group of eleven?<br>
"11 choose 3" = {{{(11*10*9)/(3*2*1) = 165}}}<br>
b) In how many ways can three women be selected from the five women?<br>
"5 choose 3" = {{{(5*4*3)/(3*2*1) = 10}}}<br>
c) Find the probability that selected group will consist of all women.<br>
From parts a and b, {{{10/165 = 2/33}}}