SOLUTION: A panel of 6 members is to be formed from 5 doctors and 10nurses to include each profession. Find, correct to two decimal places, the probability of selecting the members to includ

Question 1202594: A panel of 6 members is to be formed from 5 doctors and 10nurses to include each profession. Find, correct to two decimal places, the probability of selecting the members to include, a) equal doctors and nurses.

Would (5/15)*(4/14)*(3/13)*(10/12)*(9/11)*(8/10) work?
Found 2 solutions by mananth, ikleyn:
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
Equal nurses and doctors
3out of 5 doctors 5C3
3 out of 10 nurses 10C3
5C3*10C3
Toatal 6 out of 15
15C6

0.23976 (round it off as required

Answer by ikleyn(52908)   (Show Source): You can put this solution on YOUR website!
.
A panel of 6 members is to be formed from 5 doctors and 10nurses to include each profession. Find, correct
to two decimal places, the probability of selecting the members to include, a) equal doctors and nurses.

Would (5/15)*(4/14)*(3/13)*(10/12)*(9/11)*(8/10) work?
~~~~~~~~~~~~~~~~~~~~

@mananth did not answer your question, so I do it:

        - Yes, your expression (long product of six factors) does work correctly.

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