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Can anyone help me with this problem?
Eleven people, 7 men and 4 women, successfully completed their study at the School of Astronautics. a team of 6 people needs to be selected from them for the next intergalactic travel. In how many ways can 6 astronauts be selected, if at least 2 women and 3 men must be in the team?
1 Answer
- ?Lv 61 decade agoFavorite Answer
If it must have a min of 2 women and 3 men...
How many combinations can you get from two women (4c2), and three men (7c3)?
For the sixth person, you can choose from the remaining 11 - 5 = 6 people.
(4c2) = 6, (7c3) = 7*6*5/6 = 35
two women * three men * 6th selection =
6 * 35 * 6 = 1260
