SOLUTION: A class contains 8 male and 6 female students. a) Find the number of ways the class can elect a representative b) Find the number of ways the class can elect 2 representatives,

Algebra ->  Permutations -> SOLUTION: A class contains 8 male and 6 female students. a) Find the number of ways the class can elect a representative b) Find the number of ways the class can elect 2 representatives,       Log On


   



Question 918550: A
class contains 8 male and 6 female students.
a) Find the number of ways the class can elect a representative
b) Find the number of ways the class can elect 2 representatives, one male and one female
c) Find the number of ways the class can elect a presiden
t and a vice
-
president
d) The class elects two representatives. Find the probability that one of them is male and the other
female.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
14 students: 8M, 6F
a) choice of 14 for a representative
b) %288C1%29%286C1%29 = 48 ways to elect one male and one female
c) Order important: 14P2 = 14*13 = 182 ways of electing P & VP
d) Select two: P(1male and 1 female) = %288C1%29%286C1%29%2F%2814C2%29