There are 5 positions available in the new school. Of the applicants, 12 are men

Algebra
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There are 5 positions available in the new school. Of the applicants, 12 are men and 8 are women. 


What is the probability that 5 men are selected if they are randomly picked?
Jun 26th, 2015

Thank you for the opportunity to help you with your question!

Total number of positions = 5

Total number of applicants = 20

Total number of men = 12

5 applicants can be selected out of 20 applicants in 20C5 ways   .................(C represents COMBINATIONS)

5 men can be selected out of 12 men in 12C5 ways

Therefore, probability that 5 men are selected = 12C5 / 20C5

Probability = 792 / 15504 = 99/1938 = 0.051

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 26th, 2015

Thank you! But that is not an answer :/

Jun 26th, 2015

Can you tell me the answer..I will get back to you with details

Jun 26th, 2015

I do not know the answer, these are the choices 33/646, 4/5, 9/70

Jun 26th, 2015

Alright, that very simple.

The answer that I have provided above is 99/1938

divide the numerator and denominator by 3, you will get 33/646

So, the explanation given above is correct and answer is 33/646


Jun 26th, 2015

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