SOLUTION: In a class of 40 students, 14 of which are girls, 6 students are to be selected at random. a. In how many ways can their teacher choose 6 students? b. In how many ways can their

Algebra ->  Permutations -> SOLUTION: In a class of 40 students, 14 of which are girls, 6 students are to be selected at random. a. In how many ways can their teacher choose 6 students? b. In how many ways can their      Log On


   



Question 868553: In a class of 40 students, 14 of which are girls, 6 students are to be selected at random.
a. In how many ways can their teacher choose 6 students?
b. In how many ways can their teacher form a committee consisting of 3 girls and 3 boys?
c. In how many ways can their teacher form a committee consisting of 2 girls?
d. What is the probability that at least two girls are chosen?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
In a class of 40 students, 14 of which are girls, 6 students are to be selected at random.
a. In how many ways can their teacher choose 6 students? 40C6= 3838380
b. In how many ways can their teacher form a committee consisting of 3 girls and 3 boys? %2814C3%29%2826C3%29= 946,400 ways
c. In how many ways can their teacher form a committee consisting of 2 girls?%2814C2%29%2826C4%29
d. What is the probability that at least two girls are chosen
%2814C2%29%2826C4%29%2F%2840C6%29 + %2814C3%29%2826C3%29%2F%2840C6%29+%2814C4%29%2826C2%29%2F%2840C6%29+%2814C5%29%2826C1%29%2F%2840C6%29 + %2814C6%29%2826C0%29%2F%2840C6%29