Question 1196248
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            In my post,  I will solve only one part,  namely part  (a).



<pre>
(a)  "equal doctors and nurses" means "3 doctors and 3 nurses".

     The answer is  P(3 of 5; 3 of 10) = {{{(C[5]^3*C[10]^3)/C[15]^6}}} = {{{(10*120)/5005}}} = 0.23976    (rounded).    <U>ANSWER</U>
</pre>
Solved.


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I do not like to solve many problems in one post, because I think that it is BAD WAY to teach.



By the way, the rules of this forum require ONE problem per post. See the page


https://www.algebra.com/tutors/students/ask.mpl?action=ask_question&topic=Equations&return_url=http://www.algebra.com/algebra/homework/equations/


from which you post your problems.