Probability & Statistics Question?
A school club consists of 20 male and 5 female students. In how many ways can two male and two female students be chosen?
A school club consists of 20 male and 5 female students. In how many ways can two male and two female students be chosen?
alex
Favorite Answer
Hint:
combinatorics
---> 1900 ways
Captain Matticus, LandPiratesInc
20C2 * 5C2 =>
(20! / (2! * (20 - 2)!)) * (5! / (2! * (5 - 2)!)) =>
20! * 5! / (2! * 18! * 2! * 3!) =>
20 * 19 * 18! * 5 * 4 * 3! / (2 * 2 * 18! * 3!) =>
20 * 19 * 5 * 4 / 4 =>
20 * 19 * 5 =>
100 * 19 =>
1900