Question 1186399
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You need to know, how many different sextuples can you combine from 27 people;

then you need to know, how many sextuples can you combine from 18 men;

then relate the second number to the first.



So,  the probability under the problem's question is


    P = {{{C[18]^9/C[27]^9}}} = {{{48620/4686825}}} = {{{68/6555}}} = 0.010374    <U>ANSWER</U>
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Solved, answered and explained.