In a 739 lottery you select seven distinct numbers from the

In a 7/39 lottery, you select seven distinct numbers from the set 1 through 39, where order makes no difference. How many ways can you make your selection?

Solution

order doesn\'t matter so we use combinations

So number of selecting 7 numbers out of 39 are

39C7

=39!/(7!32!)

=(39x38x37x36x35x34x33)/(1x2x3x4x5x6x7)

=15,380,937