SOLUTION: In how many ways can nature select 6 students out of 17 to get the flu?

Question 851815: In how many ways can nature select 6 students out of 17 to get the flu?
Answer by josh_jordan(263) (Show Source): You can put this solution on YOUR website!
This question is a combination question, because order does not matter. The order of the students doesn't matter, and there can be no repetition. So, the formula we will use to solve this, is:

n = the total number (17 in our problem)

r = the number taken (6 in our problem)

So, we will plug in 17 for n, and 6 for r in our formula:

This means:

You can cross out any numbers that are in both the numerator and denominator. Doing so will give you:

Now, just multiply the numbers in the numerator and the numbers in the denominator, and then divide. So,

----->

. So, there are 12,376 ways nature can select 6 students out of 17 to get the flu.
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