How many different combinations of 6 numbers are in the numbers 1-15? - Answers

I will presume that you are using the space of integers (as there are in infinite number of real or even rational numbers between 1 and 15). There are 15 integers on the interval of [1,15] and we want to find all possible combinations of 6 numbers from this set. We use a combination, 6C15= 15! / (6! * (15 - 6)!) = 15! / (6! * 9!) If you do not have a calculator which does factorials or combinations, then you can do some cancellations to make the computation a little easier: 15! = 15 * 14 * 13 * 12 * 11 * 10 * 9! so we can cancel the 9!, which leaves us with: 15 * 14 * 13 * 12 * 11 * 10 / 6! This is still going to involve the multiplication and division of very large numbers, so I took the pansy route and just used a calculator and got: 5,005 different possible combinations.