Math CentralQuandaries & Queries


Question from david, a parent:

is there a simple formula to follow for the number of combinations a set of numbers could have
ie.( lotto 649, 6 numbers, 1-49 range)

Hi David,

The number of combinations in the 649 lottery is is 49 'choose' 6, 49C6, where nCr and where m factorial is given by m! = m(m-1)(m-2)...(3)(2)1. 49C6 = 13,983,816. This topic of permutations and combinations is normally covered in the secondary curriculum. We have a note on this topic in the Resource Room. It's called Thoughts on teaching Permutations, Combinations and the Binomial Theorem.



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