The probability that the group consists of three men and one woman is?

label Mathematics
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In a class of 18 students, there are 12 men and 6 women. Four students are selected to present a demonstration on the use of graphing calculators. Find the probability that the group consists of three men and one woman, rounded to five decimal places. 

I know this problem uses combinations, but I cannot figure out how to get this answer. Thanks!

May 28th, 2015

No of men=12

No of women=6

Total student=18

Total No of ways of selecting 4 student=4C18

No of ways of selecting 3 men and 1 woman=3C12*1C6

Probability of seclecting 3 men and 1 woman= No of ways of selecting 3 men and 1 woman/Total ways

=3C12*1C6/4C18

=22/51


May 28th, 2015

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May 28th, 2015
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