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using combinations, How many ways can a study group of 2 males and 3 females be formed from a class of 18 males and 12 females?
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well you can only get 4 complete groups but with only the boys you can get 9 groups and girls 4
So from 18 males you choose 2, and from 12 females you choose 3 \[\implies {18 \choose 2}\cdot{12 \choose 3} = 153 \cdot 220 = 33660 \text{ different ways}\]
im not very good at math but i know polpak's responce was alot better than mine
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