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Permutations vs Combinations

A group has 6 men and 5 women.  How many ways can a committee of 2 men and 4 women be formed?

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Dattaprabhakar G. | Expert Tutor for Stat and Math at all levelsExpert Tutor for Stat and Math at all le...
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Emily:
 
You can choose the 2 men on the committee from the 6 men in the group  in 6C2 = (6!) / (2!) (4!) = 6x5 / 2 = 15 ways and you can choose the 4 women on the committee from the 5 women  in the group in 5C4 = (5!) / (4!)(1!) = 5 ways.  So the total number of ways such a committee can be formed is 15 x 5 = 75.
 
Dattaprabhakar (Dr. G.)