SOLUTION: How many different sets of 4 students can be chosen out of 17 qualified students to represent a school in a mathematics contest?

Question 981949: How many different sets of 4 students can be chosen out of 17 qualified students to represent a school in a mathematics contest?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
How many different sets of 4 students can be chosen out of 17 qualified students to represent a school in a mathematics contest?
===============
17*16*15*14 = 57120
-------
If all positions are equal, then ABC & D is the same as BAD & C
-----
--> divide by 4*3*2*1 = 24
---
57120/24 = 2380 sets
RELATED QUESTIONS
In how many 5-digit numbers can be formed from the 10 digits (0-9), if a) Repetitions... (answered by Edwin McCravy)

i) In how many 5-digit numbers can be formed from the 10 digits (0-9), if a) Repetitions (answered by ikleyn)

A school's debate club has 9 members. A team of 4 students will be chosen to represent... (answered by ewatrrr)

Four students are to be chosen from a roster of 9 students to attend a science camp. In... (answered by checkley79)

Six students are to be chosen from a class of 18 to represent the class at a math... (answered by jim_thompson5910)

A teacher must choose 6 out of her class of 30 students to take part in a mathematics... (answered by ikleyn)

There are 12 students fro whom 5 are going to be chosen to represent their school at a... (answered by stanbon)

how many ways can 4 students be chosen out of 10 students (answered by ikleyn)

A class has 15 students. Four of these students will be chosen to complete a special... (answered by stanbon)