Counting Homework

Question

A group of 3 students is to be chosen from a 35-member class to represent the class on the student council. How many ways can this be done? (NOTE: Order of the selection is not important.)

Answer:  ways

Answer 1

A group of 3 students is to be chosen from a 35-member class to represent the class on the student council. How many ways can this be done? (NOTE: Order of the selection is not important.)

You will want to use combinatorics instead of permutations to solve the problem because order/position is not important, according to the problem.

By combinatorics, I mean n_Cr (idk how to type it in this answer but this means out of n total things, how many ways can you choose a group of r things without order).

n_Cr = n!/(r!*(n-r)!)

So in this case the "n" is 35, and "r" is 3. So we have 35_C3 = 35!/(3!*(35-3)!) = 35!/(3!*32!) = (35*34*33)/6 and then you can solve for the answer or plug in your calculator!

Answer 2

This problem is another example of the problem which I have answered immediately above. Use that answer as a template.