Math A probabilty question

Question

In Year 11 maths A there are three classes with 28,25 and 13 students in them respectively. A committee of three students is to be chosen. one from each class to represent a Maths Task Force. In how many ways can this group of three people be chosen?

Would be much apreciated!!

What would be much appreciated? In addition, does the order matter? — Shahar, Apr 25 '14 at 01:59

score 2 · Answer 1 · answered Apr 25 '14 at 02:10

You may choose $1$ from each class, containing $28,25,13$ students, implying that the possible number of different teams are $${25\choose1}{28\choose1}{13\choose1}=9100$$ This can equivalently be written as $25\times 28\times 13$, since you may choose $1$ from each class, containing $28,25,13$ students.

score 1 · Answer 2 · answered Apr 25 '14 at 02:02

1

You pick one from class 1 (28 options), one from class 2 (25 options), and one from class 3 (13 options). So it's just

$$28*25*13=9100$$

different possible teams.

answered Apr 25 '14 at 02:02

RandomUser

1,275

score 0 · Answer 3 · edited Apr 25 '14 at 02:10

0

$\binom {25} {1}\binom {28} {1}\binom {13} {1}$

edited Apr 25 '14 at 02:10

User011123521

716

answered Apr 25 '14 at 02:05

User38

555

Math A probabilty question

3 Answers3