Question
A group of 10 friends are going to play a soccer game. The group of friends consist of 8 women and 2 men. Men: Adam,
A group of 10 friends are going to play a soccer game. The group of friends consist of 8 women and 2 men.
Men: Adam, Bo
Women: Charlotta, Diana, Emma, Frida, Greta, Hanna, Ida, Jenny
It is decided that the "home team" will consist of five players, so five names are drawn randomly. The remaining 5 names will be in the "away team".
a) How many different "home teams" are possible? Order does not matter. (5p)
(A) 120
(B) 240
(C) 252
(D) 720
(E) 30240
b) Find the probability that the home team will be all female (five women). (5p)Choose the alternative closest to your answer.
(A) 0.12
(B) 0.15
(C) 0.17
(D) 0.22
(E) 0.27
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